Question

Find the measures of the angles of an isosceles triangle with a vertex angle of 42 degrees

Answer 1

Answer:

69°, 69°, and 42°

Step-by-step explanation:

Isosceles triangles have three angles -- one vertex angle and two base angles.

The base angles have the same measure and the vertex angle has a different measure.

Remember all triangles' interior angles sum to 180°.

If the vertex angle is 42°, then the two base angles combined are:

180° - 42° = 138°

Since the base angles are the same, each base angle is:

138° ÷ 2 = 69°

Therefore the angles in the triangle measure 69°, 69°, and 42°.