Question

What are the measures of Angle ECD and AEB?

Answer 1

Explanation:

Note that both ∠ E B C and ∠ E A D are 150 ∘ (90 ∘ (measure of an angle of the square + 60 ∘ (measure of each of three angles in an equilateral triangle)).

Answer 2

96°

Explanation:

m<ACE = 48° (solved in an earlier problem)

Angles ACE and ECD are complementary.

m<ACE + m<ECD = 90°

48° + m<ECD = 90°

m<ECD = 42°

Angles ECD and EDC are congruent.

m<ECD + m<EDC + m<CED = 180°

42° + 42° + m<CED = 180°

m<CED = 96°

m<AEB = m<CED = 96°