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A pair of parallel lines is intersected by a transversal such that ∠1 and ∠2 form a pair of interior angles on the same side of the transversal. If m∠
Question

A pair of parallel lines is intersected by a transversal such that ∠1 and ∠2 form a pair of interior angles on the same side of the transversal. If m∠1 = 3535^∘​, what is the measure of ∠2 ?

A.

3535^∘​​

B.

5555^∘​​

C.

6565^∘​​

D.

145145^∘​​

Correct option is D

Given:

m∠1 = 35°
∠1 and ∠2 are interior angles on the same side of the transversal.

Formula Used: 

For parallel line 

For interior angles on the same side of the transversal line :
m∠1 + m∠2 = 180°

Solution:

m∠2 = 180° − m∠1
m∠2 = 180° − 35°
m∠2 = 145°

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