Question

Y

Find the measure of each angle.
W
4y-8°
mZWXY=
> |×
X
6y-12°
label optional
x² f(x) √/X Xn
(X) X ≤
•X
IV
✓
TT

Answer 1

∠ WXY = 54° , ∠ XYW = 36°

Explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles, equate to 180 and solve for y

6y - 12 + 4y - 8 + 90 = 180 ( simplify left side )

10y + 70 = 180 ( subtract 70 from both sides )

10y = 110 ( divide both sides by 11 )

y = 11

Then

∠ WXY = 6y - 12 = 6(11) - 12 = 66 - 12 = 54°

∠ XYW = 4y - 8 = 4(11) - 8 = 44 - 8 = 36°