Can anyone help me on this ? I always struggle with this...

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