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AB ∥ CD and a transversal cuts AB at E and CD at F. If ∠AEF = $(3 y - 15)$ ° and ∠EFD = $(2 y + 25)$ °, what is ∠AEF?

Competition practiceGeometry

A75°
B40°
C95°
D105°

Step-by-Step Solution

Alternate interior angles are equal:

3 y - 15 = 2 y + 25

, so

y = 40

and

∠ A EF = 105°

.

Answer: D) 105°

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