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Geometry
Lesson 1-5 WS
Name____________________________
Use the diagram at the right. Is each statement true? Explain.
1. 5 and 4 are supplementary angles.
2. 6 and 5 are adjacent angles.
3. 1 and 2 are a linear pair.
Name an angle or angles in the diagram described by each of the
following.
4. a pair of vertical angles
5. supplementary to RPS
6. a pair of complementary angles
7. both angles adjacent to TPU
For Exercises 8–9, can you make each conclusion from the information in
the diagram? Explain.
8. CED  FEG
9. BCE  BAD
Use the diagram at the right for Exercises 10 and 11.
10. Name an angle that forms a linear pair with OSN .
11. Name an angle that is complementary to QSR .
12. In the diagram,
bisects WXZ.
a. Solve for x and find mWXY.
b. Find mYXZ.
c. Find mWXZ.
bisects PQS. Solve for x and find mPQS. Hint: Draw a picture!!!
13. mPQR = 3x, mRQS = 4x – 9
14. mPQS = 4x − 6, mPQR = x + 11
Write and solve an equation to find the measure of each angle in the angle pair
described.
15. The measure of one angle is 5 times the measure of its complement.
16. The measure of an angle is 30 less than twice its supplement.
17. Make a diagram that meets all of the following requirements.
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1 is adjacent to 2.
2 and 3 are a linear pair.
2 and 4 are vertical angles.
4 and 5 are complementary.
In the diagram at the right, mHKI = 48. Find each of the
following.
18. mHKJ
21. mFKH
19. mIKJ
22. mFKJ
20. mFKG
23. mGKI