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?

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