Question

A jewelry designer is working with a design that is a regular hexagon inscribed in a circle. He needs to cut a diamond to fit into each of the triangles shown. What is the measure of the indicated angle?

Answer 1

You know that this is a regular hexagon. That means that inside are regular triangles. Regular triangles are equivalent, and they must add up to 180. That means each degree is 60.

Answer 2

Answer: The measure of the indicated angle is 60°.

Step-by-step explanation:

Since we have given that

A regular hexagon is inscribed in a circle.

He needs to cut a diamond to fit into each of the triangles.

Since regular hexagon has 6 sides.

And the completer angle of circle = 360°

so, Measure of the indicated angle is given by

$\dfrac{360^\circ}{6}\\\\=60^\circ$

Hence, the measure of the indicated angle is 60°.