1. Find the measure of each angle. Justify your answer.1 2 3 4 5 6 7 8

2. If the measure of angle 6 is 100°, find the measure of angle 1.
100°; corresponding angles are congruent
110°; same-side interior angles are supplementary
110°; alternate interior angles are congruent
35°; alternate exterior angles are congruent

3. 5. If the measure of angle 3 is 2x+5, and the measure of angle 6 is x-5, what is the measure of angle 3?
6. If the measure of angle 1 is 3x-24 and the measure of angle 8 is x+12, what is the measure of angle 1?
5. Angle 3 and angle 6 are same-side interior angles, which means they are supplementary.
So 2x+5+x-5 =180
3x=180
X=60
So measure of angle three is 2(60)+5=125°.
6. Angle 1 and 8 are alternate exterior angles, therefore are congruent.
3x-24=x+12
2x-24=12
2x=36
X=18
So the measure of angle 1 = 3(18)-24 = 30