Question

Determine the value of X and ∠C.

Answer 1

∆AMB ~ ∆CMD, so:

2(4x + 5) + 2x = 180

4x + 5 + x = 90

5x + 5 = 90

x + 1 = 18

x = 17

Angle C measures 4(17) + 5 = 68 + 5 = 73°.