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The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?

27°
36°
54°
72°

Respuesta :

evelyn12hp
The answer is the last one because in isosceles triangles the base angles are congruent.
abidemiokin

The measure of the vertex angle is 72 degrees

Isosceles triangle

The sum of the interior angle of a triangle is 180 degrees. Of the base angles are equal hence;

54 + 54 + x = 180

where

x is the vertex angles

Simplify

108 + x = 180

x = 180 - 108

x = 72 degrees

Hence the measure of the vertex angle is 72 degrees

Learn more on isosceles triangle here: https://brainly.com/question/1475130

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