Question

In triangleABC, AB=AC, C=125°. Find x and y.

Answer 1

Answer:

x = 110°

y = 55°

Step-by-step explanation:

Given, in ΔABC

AB = AC (Isosceles Triangle)

Exterior of ∠C = 125°

Since AB = AC,

∠ABC = ∠ACB (Angles of equal sides in isosceles are equal)

Exterior of ∠C = 125°

∴ ∠C = 125-180 (Exterior Angle Property)

        = 55°

∠ y = ∠C

     = 55°

∠A = 180-(55+55) (Angle Sum Property)

     = 70°

∠x = Exterior of ∠A

    = 180-70

    = 110°

∴ x = 110°, y = 55°