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

The measure of a base angle is 45°

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
`=(90\°)/(2)= 45\°`