Answer:
a. The measure of angle 2 is 63 and the measure of angle 3 is 117
b. The measure of angle 4 would be approximately 30.66...
c. The measure of angle 2 would be 17
Step-by-step explanation:
a. Angles 1 and 2 are alternate interior angles which means they are equal to each other. That means that both angles 1 and 2 and 63 degrees. Angles 2 and 3 are supplementary angles which means they add up to 180 degrees.
180-63=117 degrees
b. Angles 1 and 4 are alternate exterior angles and are also equal to each other. You would set up an equation that looks like...
74=3x-18
Add 18 to both sides
92=3x
Divide by 3 on both sides
92/3 which is approximately 30.67
c. Angle 1 and 2 are alternate interior angles. You would set the two given equations equal to each other.
3x-9=x+25
Subtract x from both sides.
2x-9=25
Add 9 to both sides.
2x=34
Divide both sides by 2.
x=17
