Question

Find the values of x and y

Answer 1

x = 90 and y = 43

Explanation:

Since AB = AC then the triangle is isosceles and AD is a perpendicular bisector, thus

x = 90

and the base angles are congruent, thus ∠B = ∠C = 47

The sum of the angles in a triangle = 180°

Subtract the sum of the known angles from 180 for value of y

y = 180 - (90 + 47) = 180 - 137 = 43