Question

Find x and y. Enter the answers as numbers.

Answer 1

x = 36 and y = 48

Explanation:

The triangles are similar because m < C = m < E and m < B = m < D.

So m < D = y = 48 degrees.

m < A = 180 - (108 + 48) = 24 degrees ( as there are 180 degrees in a triangle)

m < A = m < F (similar triangles)

so m > F = m < A = 24 degrees, so

2x - y = 24

2x - 48 = 24

2y = 72

y = 36

Answer 2

Hi!

These two triangles are similar, so the angle ACB = angle FED = 108. That also means that angle ABD = angle FDE = 48 = y. Sum of all three angles in a triangle is 180, so:

108 + y + 2x - y = 180

2x = 72

x = 36

y = 48

Hope this helps!