Find the angle at the base of an isosceles triangle if you know that it is 3 times less than the angle

Find the angle at the base of an isosceles triangle if you know that it is 3 times less than the angle opposite the base.

Knowing that the sum of the angles of a triangle is 180 °, and the angles at the base of an isosceles triangle are equal, we denote the angle at the base as X, compose an equation and solve it.

X + 3X + X = 180;

5X = 180;

X = 180/5;

X = 36 °.

Answer: The angle at the base of an isosceles triangle is 36 °.



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