Ssignment
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Solving for Angle Measures of Isosceles Triangles
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?
Each base angle measures

Part a: The value of x is 33°

Part b: The measure of each base angle is 69°

Explanation:

It is given that the vertex angle of an isosceles triangle measures 42°.

The base angle in the triangle has a measure of

Part a: To determine the value of x

Since, in an isosceles triangle the base angles are always equal.

Thus, the three angles in an isosceles triangle add up to 180°

Hence, we have,

Thus, the value of x is 33°

Part b: To find the measure of each base angle.

Base angle =

Substituting , we get,

Thus, the measure of each base angle is 69°

could you provide figure.