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Name__________________________________Date_________Class_____
Worksheet: Angle Addition
Geometry
Match the following terms and corresponding definitions.
1. _______ Two angles whose measures have a sum of
90°
2. _______ Two angles that share a side and vertex but
no interior points
3. _______ Angles whose sides are two pairs of opposite
rays
4. _______ Two angles whose measures have a sum of
180°
A. Adjacent Angles
B. Complementary Angles
C. Linear Pair
D. Supplementary Angles
E. Vertical Angles
5. _______ Two adjacent angles whose noncommon
sides are opposite rays
1 and 2 are complementary angles. Given the measure of 1, find m2.
6. m1 = 52
7. m1 = 76
8. m1 = 19
3 and 4 are supplementary angles. Given the measure of 3, find m4.
9. m3 = 147
10. m3 = 94
11. m3 = 38
Find the indicated angle measure. Show all required work.
12. mPRS = ______
13. mEFG = ______
14. mWXZ = ______
15. If mADC = 135, mBDC = ______.
16. If mNRQ = 78, mPRQ = ______.
17. If mWXZ = 80, mYXZ = ______.
18. If mFJH = 168, mFJG = ______.
Find mABD and mDBC.
19.
mABD = ______
mDBC = ______
20.
mABD = ______
mDBC = ______
21. Find the value of x,
Find the values of x and y.
22.
23.
24.
25.
26.
27.
28. The arm of a crossing gate moves 42°
from a vertical position. How many more
degrees does the arm have to move so that it
is horizontal?
29. Two angles form a linear pair. The measure of one angle is twice the measure of the other
angle. Find the measure of each angle.
30. Two angles form a linear pair. The measure of one angle is one-third the measure of the other
angle. Find the measure of each angle.
Answer the following with always, sometimes, or never.
31. ___________________ Complementary angles are adjacent
32. ___________________ Angles in a linear pair are supplements of each other.
33. ___________________ Vertical angles are adjacent.
34. ___________________ Vertical angles are supplements of each other.
35. ___________________ If an angle is acute, then its complement is greater than its supplement.
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