Question

Please help me solve it I'm so lost. Giving maximum points.

Answer 1

AEC and BED are vertical angles, which mean they are equal.

Set those two equations to equal and find those angles, then we can find AEB.

First:

3y+20 = 5y -16

Add 16 to each side:

3y+36 = 5y

Subtract 3y from each side:

36 = 2y

Divide both sides by 2: y = 36 /2

y = 18.

Now solve AEC:

3(18) +20 = 54+20 = 74

Both AEC and BED are 74 degrees.

AEB and CED asre also vertical angles and would be the same.

Subtract 74 +74 from 360 then divide by 2:

AEB = (360 - 74 - 74) / 2

AEB = 212 /2

AEB = 106 degrees