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

Solution:

Given, the triangle ABC is an isosceles right triangle.

In an isosceles triangle, two sides are equal.

Since triangle ABC is an isosceles right triangle, then one of the angles will be 90°

We know, the sum of all angles of a triangle will always be equal to 180°

Let us consider the base angle as x.

Now, x + x + 90° = 180°

2x + 90° = 180°

2x = 180°- 90°

2x = 90°

x = 90/2

x = 45°

Therefore, the measure of a base angle is 45°.

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

Summary:

Triangle ABC is an isosceles right triangle. The measure of a base angle is 45°.