Geometry Homework
Angle Pair Relationships Day 11
Name AK: answers may vary
1. Use the diagram to complete parts A – F below:
Part A: Name two supplement angles of DOE .
<AOE and <COD
Part B: Name a pair of complementary angles.
<BOC and <COD
Part C: Name two pairs of vertical angles.
<AOE and <COD
Part D: Name 3 pairs of adjacent angles.
<AOE and <AOB; <BOC and <COD; <EOD and <COD
Part E: Name 2 pairs of linear pair angles.
<AOE and <DOE; <AOB and <BOD
Part F: Name three pairs of nonadjacent angles that are also not vertical.
<AOE&<BOC; <EOD&<AOB; <BOC&<DOE
Part G: Name a pair of vertical angles.
<AOE&<COD
2. Determine the measures of each of the following angles:
mWAU  130
mWAX  50
mZAX  40
mYAX  130
mUAX  180
Use the given information to find the indicated angle measure.
3. Given m  ABC = 94°, find m  CBD.= 24
4. Given m  QST = 135°, find m  QSR.=85
5. Find m  ABC=40 and m  CBD=50.
6. x = 129, y= 51, z=129 7. Determine mABC =38
8. If POR is bisected by OQ , what is the
value of x? 21
9. In the given figure, ray OB bisects AOC .
The measure of AOC is (7x – 3)° and that of
BOC is (2x + 12)°. Determine mBOA =30
10. The measure of one angle is three times the measure of its complement. Find the measure of
each angle.
22.5; 67.5
11. Two angles form a linear pair. The measure of one angle is 8 times the measure of the other
angle. Find the measure of each angle. 20;160
Spiral Review
12. Three angles of a triangle are represented as 5x + 2 degrees, 4x – 1 degrees and x + 19 degrees.
The angles of a triangle always add up to 180 degrees. Complete each of the following parts:
Part A: What is the value of x?
16
Part B: What is the measure of each of the angles?
82;63;35
Part C: Is this triangle equilateral, isosceles or scalene? How do you know?
Scalene – if the angle measures are all different the sides are all different
13. Determine the slope and y-intercept of each of the following lines:
Part A: y = 4x – 2
M=4 b= -2
Part B: 3x + 4y = 12
Part C: y = 5x
m = -3/4 b = 3
m=5 b=0