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A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles. The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.

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°

Sagot :

When a rectangular pentagon is created using the five congruent isosceles triangles as in the given condition, the base angle of one of the triangles will be 54°.

What is an isosceles triangle?

A triangle, whose two sides have equal length and one side is of different length, is known as an isosceles triangle.

Hence, option A holds true regarding the base angle of one of the isosceles triangle.

Learn more about an isosceles triangle here:

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