The measure of one of the base angles is 71°
Step-by-step explanation:
In any isosceles triangle:
∵ The triangle is isosceles
∵ The measure of its vertex angle is 38°
- The sum of the measures of the interior angles of a triangle is 180°°
∴ The sum of measures of the base angles = 180 - 38 = 142°
∵ The two base angles are equal in measures
∴ The measure of each base angle = 142 ÷ 2
∴ The measure of each base angle = 71°
The measure of one of the base angles is 71°
Learn more:
You can learn more about the lengths of the sides of a triangle in brainly.com/question/12985572
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