Question

Each face of a pyramid is an isosceles with 80° vertex angle. what are the measures of base angles?The measures of the base angles are _°

Answer 1

The 3 interior angles in every triangle add up to 180 degrees, and in isosceles triangles the two base angles are the same, so:

180=80+2x

180-80=2x

100=2x

x=100/2=50 degrees

The measures of the base angles are 50 degrees