Question

Tell answer of the question and show work

Answer 1

We know that An Isosceles Triangle has Two Equal Sides and Two Equal Angles Corresponding to those Two Equal Sides.

Given : WXY is an Isosceles Triangle :

From the Figure we can Notice that WY = XY

⇒ Angle (W) = Angle (X)

Given Angle (W) = (5x + 3)°

⇒ Angle (X) = (5x + 3)°

We know that Sum of Angles in a Triangle should be Equal to 180°

⇒ Angle (X) + Angle (Y) + Angle (W) = 180°

Given Angle (Y) = (11x - 15)°

⇒ (5x + 3)° + (11x - 15)° + (5x + 3)° = 180°

⇒ (21x - 9)° = 180°

⇒ 21x° = 189°

⇒ x° = 9°

⇒ Angle (Y) = (11x - 15)°

⇒ Angle (Y) = (11 × 9 - 15)° = (99 - 15)° = 84°

So the Measure of Angle (Y) = 84°