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All Angle Relationships: Mixed Review — Easy Worksheet 1
Grade 8 · MathSheets Name: ____________________ Date: __________
Name each relationship, or find the missing angle or x. Lines m and n are parallel. Angles are in degrees; write numbers without the ° sign.
How to solve
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Example
What is the name for two adjacent angles whose outer sides make a straight line? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
Answer: linear pair
Not quite. The answer is
💡 Two adjacent angles that make a straight line are called a linear pair (they add up to 180°). The answer is linear pair.
✓ Correct!
Not quite. The answer is
💡 Two adjacent angles that make a straight line are called a linear pair (they add up to 180°). The answer is linear pair.
💡 How to solve: All Angle Relationships: Mixed Review
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Try a similar one
What is the name for the angles all the way around one point, which add up to 360°? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Complementary angles add up to 90°, so ∠Q = 90° − 73° = 17°.
✓ Correct!
Not quite. The answer is
💡 Complementary angles add up to 90°, so ∠Q = 90° − 73° = 17°.
💡 How to solve: All Angle Relationships: Mixed Review
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Try a similar one
What is the name for two angles whose measures add up to 90°? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The x° angle and the 52° angle sit side by side on a straight line (a linear pair), so they add up to 180°. x = 180 − 52 = 128.
✓ Correct!
Not quite. The answer is
💡 The x° angle and the 52° angle sit side by side on a straight line (a linear pair), so they add up to 180°. x = 180 − 52 = 128.
💡 How to solve: All Angle Relationships: Mixed Review
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Try a similar one
What is the name for two adjacent angles whose outer sides make a straight line? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 ∠4 and ∠1 are across from each other at the same crossing, so they are vertical angles.
✓ Correct!
Not quite. The answer is
💡 ∠4 and ∠1 are across from each other at the same crossing, so they are vertical angles.
💡 How to solve: All Angle Relationships: Mixed Review
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Try a similar one
What is the name for two angles whose measures add up to 180°? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Supplementary angles add up to 180°, so ∠2 = 180° − 37° = 143°.
✓ Correct!
Not quite. The answer is
💡 Supplementary angles add up to 180°, so ∠2 = 180° − 37° = 143°.
💡 How to solve: All Angle Relationships: Mixed Review
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Try a similar one
What is the name for two angles whose measures add up to 180°? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Angles around a point add up to 360°. The known angles add up to 112° + 87° = 199°, so x = 360 − 199 = 161.
✓ Correct!
Not quite. The answer is
💡 Angles around a point add up to 360°. The known angles add up to 112° + 87° = 199°, so x = 360 − 199 = 161.
💡 How to solve: All Angle Relationships: Mixed Review
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Try a similar one
What is the name for two angles that share a vertex and a side but do not overlap? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 ∠3 and ∠2 are vertical angles, so they are equal. So ∠2 = 80°.
✓ Correct!
Not quite. The answer is
💡 ∠3 and ∠2 are vertical angles, so they are equal. So ∠2 = 80°.
💡 How to solve: All Angle Relationships: Mixed Review
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Try a similar one
What is the name for two angles that share a vertex and a side but do not overlap? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The x° angle and the 61° angle sit side by side on a straight line (a linear pair), so they add up to 180°. x = 180 − 61 = 119.
✓ Correct!
Not quite. The answer is
💡 The x° angle and the 61° angle sit side by side on a straight line (a linear pair), so they add up to 180°. x = 180 − 61 = 119.
💡 How to solve: All Angle Relationships: Mixed Review
Complementary angles add to 90°. Supplementary angles add to 180°, and a linear pair (two adjacent angles on a straight line) is always supplementary. Vertical angles, across from each other where two lines cross, are equal. Angles around a point add to 360°. When a transversal cuts parallel lines, corresponding, alternate interior and alternate exterior angles are equal, and same-side interior angles add to 180°. With x in the angles, decide whether the angles are equal or add to a total, write that equation, and solve.
Try a similar one
What is the name for two angles opposite each other where two lines cross? Choose: complementary, supplementary, vertical, adjacent, linear pair, or angles at a point.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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All Angle Relationships: Mixed Review — Easy Worksheet 1
Name each relationship, or find the missing angle or x. Lines m and n are parallel. Angles are in degrees; write numbers without the ° sign.