Find All Angles in an Isosceles Triangle with 50° Base Angle

Question

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

00:00 Find the triangle's angles

00:03 In an isosceles triangle (given) the base angles are equal

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

00:11 Find the sum of the known angles

00:16 The sum of angles in a triangle equals 180

00:20 Subtract the known angles from this sum to find the angle:

00:24 And this is the solution to the question

Since we are given that the triangle is isosceles, we will remember that the base angles are equal to each other.

That is:

$B=C=50$

Now we can calculate the vertex angle.

Since the sum of angles in a triangle is equal to 180 degrees, we will calculate the vertex angle as follows:

$A=180-50-50=80$

Therefore, the values of the angles in the triangle are: 80, 50, 50

$A=80,C=50$