Question

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?

Answer 1

The measure of a base angle is `54^o`.

Explanation:

Since all the five vertex angles are congruent, the apex angles of the triangles will be calculated as:

`360/5=72`

Since the five triangles are isosceles triangles, we can calculate the measure of a base angle by subtracting the apex angle from `180` and dividing the result by `2`.

`180-72=108`

`108/2=54`

Thus the measure of a base angle is `54^o`.