SOLUTION: find the angles of an isosceles triangle if the vertex angle is 3 times a base angle

Question 779111: find the angles of an isosceles triangle if the vertex angle is 3 times a base angle
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
An isosceles triangle has at least two equal sides, and thus at least two equal angles. Since this triangle has a larger vertex angle, it is not equilateral. It has two equal base angles.

The sum of the interior angles of a triangle is 180.

Call each base angle x, call the vertex angle 3x.

x + x + 3x = 180

5x = 180

x = 36.

The base angles are each 36 degrees, and the vertex angle is 3*36 = 108 degrees.

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