Atransversal intersects 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 are
10w and 5v. what are the values of wand v?

The value of v is 6° and the value of w is 15°

Step-by-step explanation:

we know that

When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure

so

5v=2w > equation A

10w+5v=180 > equation B

substitute equation A in equation B and solve for w

10w+(2w)=180

12w=180

w=15°

Find the value of v

5v=2w > v=2w/5

v=2(15)/5=6°

therefore

The value of v is 6° and the value of w is 15°

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step-by-step explanation:

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