A transversal interersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of a pair of same-side exterior angles (consecutive exterior) are 10w and

Lucca Mordente asked Nov 1, 2023

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Lucca Mordente asked Nov 1, 2023

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11 votes

Answer:
v=6, w=15

Explanation:

The pair of alternate interior angles are congruent, so
$5v=2w \implies 10w=25v$ .

The consecutive exterior angles are supplementary, so

$10w+5v=180\\\\25v+5v=180\\\\\\30v=180\\\\v=6\\\\\implies w=2.5(6)=15$

DonSteep answered Nov 5, 2023

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