Question

Triangles ABC and AFD are congruent equilateral triangles. Find x and y.

Answer 1

x = 7, y = 27

Explanation:

An equilateral triangle means all sides are equal, so you can say that

x + 4 = 2x - 3

Solve

4 = x - 3

7 = x

Because the triangles are equilateral, the angles must be 60 degrees.

2y + 6 = 60

Solve

2y = 54

y = 27