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Transcript
GEOMETRY
WKST 1.5
CHAPTER 1 SECTION 5
NAME________________________________ HR_____
Date _____/_____/_____ Score:
Make a sketch and write an equation to describe each relationship.
Adjacent Angles
Complementary Angles
Linear Pair
Vertical Angles
Supplementary
Angles
Identify each pair of angles as adjacent, vertical, and/or as a linear pair.
1. 1 and 2
2. 1 and 6
_________________
_________________
3. 1 and 5
4. 3 and 2
_________________
_________________
For Exercises 5–7, refer to the figure at the right.
5. Identify two obtuse vertical angles. ___________
6. Identify two acute adjacent angles. ___________
7. Identify an angle supplementary to TNU. __________
8. Find the measures of two complementary angles if the difference in their measures is 18.
_____________
Set up an equation and solve based on the following information.
For questions 9 & 10, mA = 64.1, and mB = (4x – 30) . Find the measure of each of the following.
9. supplement of A ____________
10. complement of B ____________
11. Determine whether this statement is true or false. If false, explain why. If two angles are
complementary and congruent, then the measure of each is 90.
Circle
True or False
If false, explain. _________________________________________________________
________________________________________________________________________
For questions 12 & 13, mXYZ = 2x and mPQR = ( 8x - 20 ) .
12. If  XYZ and PQR are supplementary,
13. If XYZ and PQR are complementary,
find the measure of each angle.
find the measure of each angle.
m XYZ = __________ mPQR = __________
m XYZ = __________ mPQR = __________
14. The measures of two complementary
angles are 16z – 9 and 4z + 3. Find the
measure of each angle.
15. Find mT, if mT is 20 more than four
times the measure of its supplement.
One angle = _________ the other= _________
mT = _________
16. The measure of 1 is five less than four
times the m2. Find the measures of 1
and 2 if they form a linear pair.
17. The measure of 3 = (4x - 7) and the
m4 = (2x + 15). Find the value of x and
m3 if 3 & 4 are vertical angles.
m 1 = __________ m2 = __________
x = __________ m3= __________
Find the measure of each angle using the diagram provided.
18. mEBF =______
19. mEBC =______
b/c_________________________
b/c_________________________