Answer:
45 degrees
Explanation:
Hi there!
We're given that one of the triangle's exterior angles is 90 degrees. Using that, we can solve for the corresponding interior angle by subtracting 90 from 180 degrees:
180-90 = 90
Given that the two legs of this right triangle are of equal length, we know that the remaining two angles both measure x. Knowing that the sum of the interior angles in a triangle is 180 degrees, we can set up an equation:
x+x+90=180
2x=90
x=45
Therefore, x is 45 degrees.
In fact, any right triangle with legs of equal length will be a 45-45-90 triangle, meaning the other two angles measure 45 degrees.
I hope this helps!