#### 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.)

#### Solution

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

Let base angle be *b*.

Vertex angle = 2 × Base angle = 2*b*

Sum of all interior angles of a Δ = 180°

*b* + *b* + 2*b* = 180°

4*b* = 180°

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Solution 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 Concept: Concep of Equation.