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timurjin [86]
3 years ago
5

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

Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0

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

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