Use the figure to find the measure of the angle. Explain your reasoning.

HELP

1.)   m∠1 = 95°, by the alternate exterior angles theorem which state, if two angles are located on the alternate side of the transversal and are exterior, their they are said to be congruent. Angle 1 and angle 95° are alternate exterior angles, therefore they are congruent.

2.)   m∠2 = 85°, Angles 1 and 2 are supplementary, which means they add up to 180°. If m∠1 is 95, then m∠2 would be 180 - 95.

3.)   m∠3 = 85°, Angle 2 and 3 are vertical angles, which makes them congruent, if m∠2 is 85 then so would be the m∠3.

4.) m∠4 = 95°, Angle 1 and 4 are vertical angles, which makes them congruent, if m∠1 is 95 then so would be the m∠4.

5.) m∠5 = 95°, Same side interior angles add up to 180°, Angles 3 and 5 are same side interior angles and therefore add up to 180°. We already found the measure of angle 3 is 85°, so the measure of angle 5 would be 180 - 85 which is 95.

6.) m∠6 = 85°, Same side interior angles add up to 180°, Angles 4 and 6 are same side interior angles and therefore add up to 180°. We already found the measure of angle 4 is 95°, so the measure of angle 6 would be 180 - 95 which is 85°.

7.) m∠7 = 85°, Angle 6 and 7 are vertical angles, which makes them congruent, if m∠6 is 85 then so would be the m∠7.

8.) m∠8 = 95°, because it's given

Hope this helps!

step-by-step explanation: