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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°