Question

If bd and eg are parallel lines and m∠dcf = 54°, what is m∠efc?

A) 126°

B) 54°

C) 36°

D) 90°

Answer 1

Since bd and eg are parallel, and angle dcf is an alternate interior angle to angle efc, m∠efc also equals 54°.

Step-by-step explanation:

If bd and eg are parallel lines and m∠dcf = 54°, to find m∠efc we can use the property of alternate interior angles.

When two parallel lines are cut by a transversal, alternate interior angles are equal. Since dcf and efc are alternate interior angles, m∠efc equals m∠dcf. Therefore, m∠efc = 54°.