A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles? 54° 72° 108° 144°

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Answer:

B. [tex]72^{o}[/tex]

Step-by-step explanation:

An isosceles triangle has two equal sides and angles (called base angles).

From the question, the common vertex of 5 congruent isosceles triangles are joined. Thus, creating a regular pentagon which has five sides.

Given that the five congruent triangles form a total of 360° at the center, then;

the measure of a base angle of one of the triangles = [tex]\frac{360^{o} }{5}[/tex]

                                                     = [tex]72^{o}[/tex]

Answer:

It’s actually A: 54