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

144°

Step-by-step 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°

a

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