Question

In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Find the measure of the base angles. (Note: the angles of a triangle add up to 180°.)

This is multi step equations and has to have a equation btw. Thanks. . :)

Answer 1

50°

Explanation:

In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Let x° be the measure of each of base angles.

In a triangle, the sum of the measures of all interior angles is always 180°, then

`x^(\circ)+x^(\circ)+80^(\circ)=180^(\circ)\\ \\2x^(\circ)=180^(\circ)-80^(\circ)\\ \\2x^(\circ)=100^(\circ)\\ \\x^(\circ)=50^(\circ)`