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Triangle ABC is an isosceles right triangle with a right angle at A. Segments BD and BE trisect angle ABC. What is the degree measure of angle BEA?

 

 Jun 2, 2021
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Because the triangle is isosceles we know that $\angle{ABC} = 45$ ($\frac{180-90}{2}$)

 

Because it trisects angle $ABC$, we know that $\angle{EBA} = 15$. Thus, we subtract $180 - 15 - 90 = 75$, because $EAB$ is a triangle. 

 

Therefore, our answer is $\boxed{75}$. 

 Jun 2, 2021

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