In an isosceles triangle, the base angles are equal. The vertex angle is 50°. What are the base angles of the triangle?

Given:

In an isosceles triangle, the base angles are equal.

The vertex angle is 50°.

To do:

We have to find the measure of the base angles of the triangle.

Solution:

Let the measure of each base angle be x.

We know that,

Sum of the angles in a triangle is 180°.

Therefore,

$x+x+50° = 180°$

$2x = 180°-50°$

$2x=130°$

$x=\frac{130°}{2}$

$x = 65°$

Therefore, the measure of each of the base angles is 65°.

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Updated on: 10-Oct-2022

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