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Vertical & Adjacent Angles — Easy Worksheet 2
Grade 7 · MathSheets Name: ____________________ Date: __________
Use the diagram of two intersecting lines to answer each question.
How to solve
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Example
Find the value of x.
Answer: 127
Not quite. The answer is
💡 The x° angle is across from the 72° angle, so they are vertical angles. Vertical angles are equal, so x = 72.
✓ Correct!
Not quite. The answer is
💡 The x° angle is across from the 72° angle, so they are vertical angles. Vertical angles are equal, so x = 72.
💡 How to solve: Vertical & Adjacent Angles
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Try a similar one
Find the value of x.
✓ 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 is next to the 106° angle along a straight line, so they are adjacent and add to 180°. x = 180 − 106 = 74.
✓ Correct!
Not quite. The answer is
💡 The x° angle is next to the 106° angle along a straight line, so they are adjacent and add to 180°. x = 180 − 106 = 74.
💡 How to solve: Vertical & Adjacent Angles
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Try a similar one
Find the value of x.
✓ 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
💡 ∠2 and ∠4 are across from each other where the lines cross and share only the vertex, so they are vertical angles. The answer is Vertical.
✓ Correct!
Not quite. The answer is
💡 ∠2 and ∠4 are across from each other where the lines cross and share only the vertex, so they are vertical angles. The answer is Vertical.
💡 How to solve: Vertical & Adjacent Angles
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Try a similar one
Find the value of x.
✓ 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 is across from the 51° angle, so they are vertical angles. Vertical angles are equal, so x = 51.
✓ Correct!
Not quite. The answer is
💡 The x° angle is across from the 51° angle, so they are vertical angles. Vertical angles are equal, so x = 51.
💡 How to solve: Vertical & Adjacent Angles
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Try a similar one
Find the value of x.
✓ 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 is next to the 39° angle along a straight line, so they are adjacent and add to 180°. x = 180 − 39 = 141.
✓ Correct!
Not quite. The answer is
💡 The x° angle is next to the 39° angle along a straight line, so they are adjacent and add to 180°. x = 180 − 39 = 141.
💡 How to solve: Vertical & Adjacent Angles
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Try a similar one
Find the value of x.
✓ 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
💡 ∠1 and ∠2 are side by side and share a ray, so they are adjacent angles. The answer is Adjacent.
✓ Correct!
Not quite. The answer is
💡 ∠1 and ∠2 are side by side and share a ray, so they are adjacent angles. The answer is Adjacent.
💡 How to solve: Vertical & Adjacent Angles
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Try a similar one
Find the value of x.
✓ 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 is across from the 70° angle, so they are vertical angles. Vertical angles are equal, so x = 70.
✓ Correct!
Not quite. The answer is
💡 The x° angle is across from the 70° angle, so they are vertical angles. Vertical angles are equal, so x = 70.
💡 How to solve: Vertical & Adjacent Angles
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Try a similar one
Find the value of x.
✓ 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 is across from the 38° angle, so they are vertical angles. Vertical angles are equal, so x = 38.
✓ Correct!
Not quite. The answer is
💡 The x° angle is across from the 38° angle, so they are vertical angles. Vertical angles are equal, so x = 38.
💡 How to solve: Vertical & Adjacent Angles
When two lines cross, the angles opposite each other are vertical angles and are always equal. Angles next to each other along a line are adjacent and add up to 180°. So if one angle is 65°, the angle across from it is 65° and the angles beside it are 180° − 65° = 115°.
Try a similar one
Find the value of x.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Vertical & Adjacent Angles — Easy Worksheet 2
Use the diagram of two intersecting lines to answer each question.