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ACT® Math

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Congruent Angles

ACTMAT-TJS1EE

In isosceles trapezoid ABCD below, diagonals $ {\overline { AC } } $ and $ {\overline { BD } } $ intersect at E.

If $ {\overline { AC } } $ bisects $ {\angle BCD} $ and $ {\overline { BD } } $ bisects $ {\angle ADC} $, how many angles – including $ {\angle EDC} $ – are congruent to $ {\angle EDC} $?

A

$2$

B

$4$

C

$6$

D

$8$

E

$10$