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Please can somebody help me on this one?

Please can somebody help me on this one?-example-1
User Xdissent
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1 Answer

6 votes

Answer:

W = 73°

X = 81°

Y = 26°

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°).

User RodriKing
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