Question

Please can somebody help me on this one?

Answer 1

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°).