Find the angle at the base of an isosceles triangle if the angle between the sides is 30 degrees.

A triangle is three points that do not lie on one straight line, connected by segments.

An isosceles triangle is a triangle in which the sides are equal, and the angles at the base are also equal:

AB = BC;

∠А = ∠С.

Since the sum of all the angles of the triangle is 180º, then:

∠А + ∠В + ∠С = 180º;

∠А = ∠С = (180º – ∠В) / 2;

∠А = ∠С = (180º – 30º) / 2 = 150º / 2 = 75º.

Answer: The angles at the base of the triangle are 75 degrees.