Finding All Angles in an Isosceles Triangle with 62° Base 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 In an isosceles triangle (given) the base angles are equal

00:07 Substitute the angle value according to the given data

00:11 Find the sum of the known angles

00:15 The sum of angles in a triangle equals 180

00:18 Subtract the known angles from this sum to find the angle

00:26 And this is the solution to the question

In an isosceles triangle, the base angles are equal to each other—that is, angles C and B are equal.

$C=B=62$

Now we can calculate the vertex angle.

Remember that the sum of angles in a triangle is equal to 180 degrees, therefore:

$A=180-62-62=56$

The values of the angles in the triangle are 62, 62, and 56.

62, 62, 56