Question

Find the values of x and y.

Answer 1

Answer: (30, 5)

Explanation:

Since the 3 red angles are equal, then they are all 60 degrees, which shows that the triangle is equilateral. Therefore, 8y = 40, so y = 5

Also, since BD = BC, triangle BDC is isosceles. We know that angle BDC = 180 - 60 = 120, so 2x = 60 and x = 30

(x, y) = (30, 5)