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spayn [35]
3 years ago
7

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 equal

s 75 degrees, and the measure of angle l equals 5 open parentheses w minus 2 close parentheses degree . what is the value of w?
Mathematics
1 answer:
Delvig [45]3 years ago
7 0

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

<span>angle L =  85 degrees</span>

 

Therefore w is:

angle L = 5 (w – 2)

5 (w – 2) = 85

w – 2 = 17

<span>w = 19</span>

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