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Angle Pairs: Complementary, Supplementary & Vertical — Easy Worksheet 1
Grade 10 · MathSheets Name: ____________________ Date: __________
Use the angle relationships in each diagram to answer the question.
How to solve
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Example
∠2 and ∠4 are vertical angles. m∠2 = 98°. Find m∠4.
Answer: 98°
Not quite. The answer is
💡 Vertical angles are congruent, so m∠2 = m∠4 = 35°.
✓ Correct!
Not quite. The answer is
💡 Vertical angles are congruent, so m∠2 = m∠4 = 35°.
💡 How to solve: Angle Pairs: Complementary, Supplementary & Vertical
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Try a similar one
∠3 and ∠1 are vertical angles. m∠3 = 55°. Find m∠1.
✓ 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 that form a linear pair are supplementary, so m∠2 = 180° − 90° = 90°.
✓ Correct!
Not quite. The answer is
💡 Angles that form a linear pair are supplementary, so m∠2 = 180° − 90° = 90°.
💡 How to solve: Angle Pairs: Complementary, Supplementary & Vertical
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Try a similar one
∠1 and ∠3 are vertical angles. m∠1 = 141°. Find m∠3.
✓ 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
💡 ∠ABC is a right angle, so ∠ABD and ∠DBC are complementary: m∠DBC = 90° − 50° = 40°.
✓ Correct!
Not quite. The answer is
💡 ∠ABC is a right angle, so ∠ABD and ∠DBC are complementary: m∠DBC = 90° − 50° = 40°.
💡 How to solve: Angle Pairs: Complementary, Supplementary & Vertical
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Try a similar one
∠2 and ∠4 are vertical angles. m∠2 = 77°. Find m∠4.
✓ 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 the supplement is 180° − 35° = 145°.
✓ Correct!
Not quite. The answer is
💡 Supplementary angles add up to 180°, so the supplement is 180° − 35° = 145°.
💡 How to solve: Angle Pairs: Complementary, Supplementary & Vertical
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Try a similar one
∠1 and ∠3 are vertical angles. m∠1 = 140°. Find m∠3.
✓ 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
💡 Vertical angles are congruent, so m∠3 = m∠1 = 109°.
✓ Correct!
Not quite. The answer is
💡 Vertical angles are congruent, so m∠3 = m∠1 = 109°.
💡 How to solve: Angle Pairs: Complementary, Supplementary & Vertical
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Try a similar one
∠4 and ∠2 are vertical angles. m∠4 = 52°. Find m∠2.
✓ 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 that form a linear pair are supplementary, so m∠4 = 180° − 106° = 74°.
✓ Correct!
Not quite. The answer is
💡 Angles that form a linear pair are supplementary, so m∠4 = 180° − 106° = 74°.
💡 How to solve: Angle Pairs: Complementary, Supplementary & Vertical
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Try a similar one
∠1 and ∠3 are vertical angles. m∠1 = 118°. Find m∠3.
✓ 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
💡 ∠ABC is a right angle, so ∠ABD and ∠DBC are complementary: m∠DBC = 90° − 46° = 44°.
✓ Correct!
Not quite. The answer is
💡 ∠ABC is a right angle, so ∠ABD and ∠DBC are complementary: m∠DBC = 90° − 46° = 44°.
💡 How to solve: Angle Pairs: Complementary, Supplementary & Vertical
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Try a similar one
∠1 and ∠3 are vertical angles. m∠1 = 66°. Find m∠3.
✓ 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 the complement is 90° − 54° = 36°.
✓ Correct!
Not quite. The answer is
💡 Complementary angles add up to 90°, so the complement is 90° − 54° = 36°.
💡 How to solve: Angle Pairs: Complementary, Supplementary & Vertical
Complementary angles add up to 90°. Supplementary angles (and every linear pair) add up to 180°. Vertical angles are equal. Write the matching equation, solve for x, and substitute if an angle measure is asked for.
Try a similar one
∠4 and ∠2 are vertical angles. m∠4 = 132°. Find m∠2.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Angle Pairs: Complementary, Supplementary & Vertical — Easy Worksheet 1
Use the angle relationships in each diagram to answer the question.