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22 May, 10:55

A transversal 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 w and v? A transversal 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 w and v?

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  1. 22 May, 14:12
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    w=15

    v=6

    Step-by-step explanation:

    Interior Angle Theroum, we can write

    5 v = 2 w (1)

    The measures of a pair of same-side exterior angles are supplementary

    10 w + 5 v = 180 (2)

    substitute 1 from 2

    10 w + 2 w = 180

    12 w = 180

    w=180/12

    w=15

    The measures of a pair of alternate interior angles are

    5 v=2 w

    5 v=2 (15)

    5 v=30

    v=30/5

    v=6
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Home » Mathematics » A transversal 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.
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