My son got this problem in geometry and was stumped.

Stoyanovahvsbh

Stoyanovahvsbh

Answered question

2022-05-08

My son got this problem in geometry and was stumped. He asked me and I am stumped too. Here is the problem:

In triangle ABC, m∠ACB = 42°. The angle bisectors AD and BE intersect at point O so that AE + OE = AB. Find m∠A and m∠B.

Answer & Explanation

Elliana Shelton

Elliana Shelton

Beginner2022-05-09Added 14 answers

Say F is on A B so that A F = A E. Then A E O A F O (sas). So
F O = E O = F B
Thus B O F is isosceles. So
C E O = 180 A B C
So
180 1 2 A B C + 42 = 180 A B C = 84
and C A B = 54.

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