Question

In the diagram shown, chords AB and CD intersect at E. The measure of (AC) ̂ is 134°, the measure of (DB) ̂ is (3x)° and the measure of ∠AEC is (7x)°. What is the degree measure of ∠ AED?

Answer 1

Explanation:

Twice the difference of the arc measures are equal to the angle AED.

2(134-3x) = 7x

Distribute

268 - 5x = 7x

Add the 5x to the other side.

268 = 12x

x = 22 1/3