# The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by (2x + 3)°. What is the value of x? What is the measure of each base angle?

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## Question:

The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by (2x + 3)°. What is the value of x? What is the measure of each base angle?

The base angles of an isosceles triangle are equal.

The value of x is 33, and the measure of each base angle is 69.

The given parameter are:  So, we have: Collect like terms  Divide both sides by 4 Recall that:  Hence, the value of x is 33, and the measure of each base angle is 69.