Calculate All Angles in an Isosceles Triangle with 50° Angle

Question

Find all the angles of the isosceles triangle using the data in the figure.

00:00 Find the angles of the triangle

00:03 The sum of angles in a triangle equals 180

00:06 Subtract the known angle from this sum

00:09 This is the sum of the remaining angles

00:12 Divide by 2 because they are equal (isosceles triangle)

00:15 And this is the solution to the problem

In an isosceles triangle, the base angles are equal to each other, meaning:

$B=C$

Since we are given angle A, we can calculate the base angles as follows:

Let's remember that the sum of angles in a triangle is equal to 180 degrees.

$180-50=130$

$130:2=65$

$B=C=65$

$B=65,C=65$