10 will mark circle o is shown below. the diagram is not drawn to scale. if m∡r = 28°, what is m∡ o? explain.

Measure of angle O is 56 degrees.

Step-by-step explanation:

We can see from diagram that NQ is minor arc and NRQ is major arc. Our angle R (inscribed angle) and O (central angle) are corresponding to minor arc NQ. We will use inscribed angle theorem which states that measure of inscribed angle is one-half the measure of central angle.

We are given that measure of inscribed angle R is 28 degrees. To find measure of our central angle O we will multiply 28 by 2.

Therefore, measure of angle O will be 56 degrees.