Question

Triangle ABC is an isosceles right triangle. What is the measure of a base angle?


°

Answer 1

90 degrees
cuz if you look closely it says isosceles RIGHT triangle
A right triangle has a measure of 90 degrees

Answer 2

Answer:

The measure of a base angle is 45°

Step-by-step explanation:

$\triangle ABC$ is an isosceles right triangle. That means, the measure of its vertex angle is 90°

As, the sum of all three angles in any triangle is always 180°, so the sum of two base angles will be:  $180\°-90\°=90\°$

Now, the triangle is an isosceles triangle, that means the measures of two base angles are equal to each other.

So, the measure of each base angle $=\frac{90\°}{2}= 45\°$