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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