It is known that in an isosceles triangle the angle is 108 degrees, find out how many degrees are the other angles equal?

An isosceles triangle is a triangle with equal sides.

Since the angles at the base are equal in an isosceles triangle, these angles will always be sharp (that is, less than 90º). Thus, the 108 ° angle is the opposite angle to the base.

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

∠А = ∠С = (180º – ∠В) / 2;

∠А = ∠С = (180º – 108º) / 2 = 72º / 2 = 36º.

Answer: The angles at the base of the triangle are 36º.



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