Question

In ΔWXY, if m∠W is five less than three times m∠Y and m∠X is 8 more than m∠W, find the measures of each angles?

Answer 1

∡W = 73°

∡X = 81°

∡Y = 26°

Explanation:

let 'y' = measure angle Y

let '3y - 5' = measure of angle W

let '3y + 3' = measure of angle X

add all together and set equal to 180

y + 3y + 3y - 2 = 180

7y = 182

y = 26

substitute 26 for y in '3y+3' to find measure of angle X

substitute 26 for y in '3y-5' to find measure of angle W