Answer:
∠ Y = 36°
Step-by-step explanation:
The sum of the 3 angles in a triangle is 180°
sum the 3 angles, equate to 180 and solve for x
52 + 3x - 33 + 5x - 23 = 180 ( simplify left side )
8x - 4 = 180 ( add 4 to both sides )
8x = 184 ( divide both sides by 8 )
x = 23
substitute x = 23 into the expression for ∠ Y
∠ Y = 3x - 33 = 3(23) - 33 = 69 - 33 = 36°
