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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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