Question

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 ! :)

Answer 1

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˚.