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

Question

Calculate the remaining angles in the isosceles triangle below.

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 know that the triangle is isosceles, we know that the base angles are equal.

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 are 80, 50, and 50.

$A=80,C=50$