if m<W is five less than twice m<Y and m<X is 21 more than m<Y, find the measure of each angle.

Question

M<W=

M<X=

M<Y=

Answer 1

Let y = m∠Y. The measure of angle W is 5 less than twice the measure of angle Y, so m∠W = 2y - 5. The measure of angle x is 21 more than the measure of angle Y, so m∠X = y + 21. Assuming that WXY is a triangle. then:

m∠W + m∠X + m∠Y = 180^o

2y-5 + y+21 + y = 180

Solve for y ( the measure of angle Y) then use that value to compute the other angles.