Answer:
W = 73°
X = 81°
Y = 26°
Step-by-step explanation:
We can let W, X, Y represent the measures of the corresponding angles. The problem statement gives us the relations ...
W = 3Y -5
X = W +8
Of course, the sum of angles in a triangle is 180°, so we have ...
W +X +Y = 180
W +(W +8) +Y = 180 . . . . . substitute for x
2W +Y = 172 . . . . . . . . . subtract 8, collect terms
2(3Y -5) +Y = 172 . . . substitute for W
7Y = 182 . . . . . . . . add 10, collect terms
Y = 26 . . . . . . . . divide by 7
W = 3(26) -5 = 73
X = 73 +8 = 81
The angle measures are (W, X, Y) = (73°, 81°, 26°).
