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Set up an equation in the following case: In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be b in degrees.

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Question

Set up an equation in the following case:

In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be b in degrees. Remember that the sum of angles of a triangle is 180 degrees.)

Sum
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Solution

An isosceles triangle has two of its angles of equal measure.

Let base angle be b.

Vertex angle = 2 × Base angle = 2b

Sum of all interior angles of a Δ = 180°

b + b + 2b = 180°

4b = 180°

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