Question

In circle O, the measure of angle r equals 23. Find the measure of angle O.
A.46
B.23
C.67
D.157

Answer 1

Do you have a picture?

Answer 2

one minute

Answer 3

https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc008-3.jpg

Answer 4

So this is what you know.

Answer 5

yeah

Answer 6

So basically, you know that this is circle O we're talking about. So O is the center. Because of this, we just need to find the measure of arc NQ and we'll have the measure of NQ, since ONQ is a central angle.
We also can see that R is an inscribed angle on the circle, this we know R's corresponding arc's measure is 2 times its measure. (See below pic) And luckily, NQ is that arc.
So to find NQ, which will equal angle O, we just need to multiply R's measure by 2. So what is the measure of angle Q?

Answer 7

okay that would be 46

Answer 8

Yes. So choice A is correct.

Answer 9

okay thank you for explaining it to me

Answer 10

No problem :)