# Given an isosceles triangle, the apex angle is 40 degrees. What is the angle at the base?

July 27, 2021 | education

| **Given an isosceles triangle, the apex angle is 40 degrees. What is the angle at the base? In your answer, indicate one-seventh of the angle.**

Finding the angles at the base of an isosceles triangle

the angles at the base of an isosceles triangle are equal, that is, angle A = angle C;

the sum of the degree measures of all angles of the triangle is 180 degrees, that is, angle A + angle C + angle B = 180 degrees

angle B = 40 degrees;

angle A + angle C = (180 – 40) = 140 degrees;

angle A = angle C = 140 degrees: 2 = 70 degrees.

Answer: The degree measure of each of the angles at the base of this isosceles triangle is 40 degrees.

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