Question

Ray EC bisects ∠BED, m∠AEB = 8x - 4 and m∠CEB = 2x + 8. Find m∠AEC

Equation needed to solve for x.

Hint: m∠AED = 180 degrees

Answer: m∠AEC =

Answer 1

[AI-generated answer — Bot]

180 - (8x - 4) - (2x + 8) = 168 - 10x

Equation: 8x - 4 + 2x + 8 = 180

Solution: 10x = 172
x = 17.2

Answer 2

Looks like we have another wrong answer.

Correct solution:
8x-4 + 2(2x+8) = 180
8x - 4 + 4x + 16 = 180
12x = 168
x = 14°

m∠AEC = 2x+8
= 2(14) + 8
= 36°