Question

The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find

three angles of the triangle.

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Answer 1

Answer: 49°, 49°, 82°

Explanation:

Let x represent the base angles

then 2x - 16 is the vertex angle.

Triangle Sum Theorem states that the sum of the angles is 180°

(x) + (x) + (2x - 16) = 180

4x - 16 = 180

4x = 196

x = 49

Base angles: x = 49

Vertex angle: 2(49) - 16 = 82