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Mathematics 11 Online
OpenStudy (anonymous):

Can someone help me out with this question? Find the value of w if marc AC = 84°.

OpenStudy (anonymous):

OpenStudy (tkhunny):

You may wish to consider a factor of 2. What kind of angle like w would subtend half the circle?

OpenStudy (anonymous):

Would I have to multiply by 2?

Directrix (directrix):

Before I can say, I have to mark up the diagram. That is what I am doing now.

OpenStudy (anonymous):

OKay thanks :)

Directrix (directrix):

The angle with measure w is an inscribed angle of the circle.

OpenStudy (tkhunny):

Diameter always cuts off 180º An angle like w that cuts off 180º is a RIGHT angle. There's a factor of 2 in there, somewhere.

Directrix (directrix):

There is a theorem about how to get the measure of an inscribed angle of a circle. @aayyadi Do you know that theorem? Or, have you heard of it?

OpenStudy (anonymous):

Yeah, but im confused in which type of arc it is?

OpenStudy (anonymous):

Wait! you said the inscribed angle..

Directrix (directrix):

The diagram has a lot of information on it that needs to be ignored for now. Look at the angle with measure w and look at the arc it cuts off and the measure of that arc. |dw:1383368509379:dw|

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