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?

Answer:

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.

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