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If O is the center of the circle shown above, what is the measure of x

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If O is the center of the circle shown above, what is the measure of x [#permalink]

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New post 09 May 2015, 03:46
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If O is the center of the circle shown above, what is the measure of x?

A. 30°
B. 40°
C. 50°
D. 80°
E. 100°
[Reveal] Spoiler: OA

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If O is the center of the circle shown above, what is the measure of x [#permalink]

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New post 10 May 2015, 16:43
This is a pretty simple question that relies on the central angle and inscribed angle rules of circles. For inscribed angles (angles coming from the side of a circle), simply double them and then treat them as central angles. Here we have a central angel of 100 degrees as well as a diameter of the circle given to us. This means that the other portion of the arc on that semicircle above the diameter is 80 degrees (180-100 = 80). Because x is an inscribed angle covering that entire 80 degree portion, we use the inscribed angle rule in reverse. If the angles covers what would be 80 degrees of a central angle, then we divide that in half to reach the inscribed angle of 40 degrees, or answer choice B.

I hope this helps!
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Re: If O is the center of the circle shown above, what is the measure of x [#permalink]

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If O is the center of the circle shown above, what is the measure of x?

A. 30°
B. 40°
C. 50°
D. 80°
E. 100°



answer B
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Re: If O is the center of the circle shown above, what is the measure of x [#permalink]

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Re: If O is the center of the circle shown above, what is the measure of x   [#permalink] 08 May 2017, 22:54
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