Angles in an isosceles triangle, step by step

An isosceles triangle has two equal sides, and that forces its two base angles to be equal.

The question
x50° degrees

Isosceles triangle angles

base=baseandsum=180°
180100=80
x=80°
  1. The two ticked sides are equal, so the two base angles are equal — and the three angles still add to 180°.
  2. Both base angles are 50°, so together they are 100°. The apex is what is left of 180°: 180 − 100 = 80.
  3. So x = 80°.

How it works.

  1. 01

    The two ticked sides are equal, so the two base angles are equal — and the three angles still add to 180°.

  2. 02

    Both base angles are 50°, so together they are 100°. The apex is what is left of 180°: 180 − 100 = 80.

  3. 03

    So x = 80°.