Question

The sketch shows two parallel lines cut by a transversal. Angle 2 is 36 degreees. What is the measure of angle 8

Answer 1

angle 6=angle 2=26 degree
angle 8=180-angle 6=180-36=144

Answer 2

144°

Explanation:

It is given that Angle 2= 36°

We have to measure angle 8

As it is given that the above two lines are parallel in given figure

angle 2+ angle 4= 180° (linear pair)

∠2+∠4=180°

36°+ ∠4=180°

∠4= 180°- 36°

∠4=144°

angle 4 = angle 8 (corresponding angles)

angle 8= 144°

Hence, the correct answer is 144°