# if ray EB bisects angle AED, EC bisects angle BED, and the measure of angle BEC=30, find measure of angle AEC?

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- 1 decade agoFavorite Answer
angle AEC is 90, because BEC is 30 + BED= 60, whch means angle AEB=60 & 60+30=90

Source(s): i recently did this exact same problem in my math class - momLv 71 decade ago
the best thing is to first draw a picture. Unfortunately I can't here.

since angle BEC=30, the CED also is 30. Now you know BED is 60, so AEB is 60. so add AEB to BEC and you will have AEC =90.

- alphaLv 71 decade ago
EB is the bisector of <BED and given <BEC=30

Therefore <BED=60

again <AEB=60 ,EB bwubf th biawctor of <AED

Therefore <AEC=<AEB+<BEC=60+30=90

ts

- Wal CLv 61 decade ago
<CED = <BEC = 30

So <BED = 60 = <AEB

So <AEC = <AEB + <BEC

= 60 + 30

= 90

Source(s): Me ;^)) - How do you think about the answers? You can sign in to vote the answer.

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