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Angle R is an inscribed angle of a circle. Use the attached theorem to get the measure of the arc it cuts off. The intercepted arc is in blue.

The measure of an inscribed angle is how related to its intercepted arc?

I understand the theorem but how do find the length?

1/2 the measue of the arc

so multply it by two?

Yes.
So if angle R is 23, what is the measure of arc NQ ?

do its 46?

Yes.
Next, do you see that central angle O cuts off the same arc that angle R did?

Right so 23?

1/2

No, that was the inscribed angle. We're talking central angles.

I have no idea...

Read this.

Okay i did..

It is the arc!

So the Angle is 46!

That is correct.

THANK YOU SOO MUCH!

You are welcome.

Yes.

Because they are congruent right?

Okay, well thank you a lot!

We have done one like that.

Here's the theorem you need. ^^

So, what is the equation you would write to solve the equation.

Alright! I got it from here! Thanks man!

X^2=5(12+5)

Very good.

X^2 = ?

9.2?

85

Would it be 9.2 or 85???

x^2 = 85
x = 9.2? Yes.

Okay:) thanks!

I'll look for you online when I'm on. I enjoyed working with you.

Thanks same with you!