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25 July, 09:56

Given that triangle x y z is congruent to triangle n m l, the measure of angle x equals 20 degrees, the measure of angle m equals 75 degrees, and the measure of angle l equals 5 open parentheses w minus 2 close parentheses degree. what is the value of w?

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  1. 25 July, 12:04
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    A triangle has a total angle of 180 degrees. Since we know that angle X = angle N = 20 degrees and angle Y = angle M = 75 degrees, therefore angle Z or angle L is equal to:

    angle L = 180 - 20 - 75

    angle L = 85 degrees

    Therefore w is:

    angle L = 5 (w - 2)

    5 (w - 2) = 85

    w - 2 = 17

    w = 19
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