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Regular pentagon HIJKL is shown below. What is the measure of ANGLE HIK? (image attached)A. 36 degreesB. 54 degreesC. 72 degreesD. 108 degreesthank you ! :)

Regular pentagon HIJKL is shown below What is the measure of ANGLE HIK image attachedA 36 degreesB 54 degreesC 72 degreesD 108 degreesthank you class=

Respuesta :

Given a regular pentagon HIJKL.

We are asked to find the measure of Angle HIK

To find the measure of a central angle of a regular pentagon, we make a circle in the middle of the pentagon. We know that a circle is 360 degrees around.

Now, we will divide the 360 by the five angles. Now, the measure of each central angle is equal to:

360/5

So,

Angle HIK = 360/5

Angle HIK = 72˚

Therefore, the correct option is C, which is 72˚.

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