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Mathematics 14 Online
OpenStudy (baseballguy101):

Which equation could be used to solve for the measure of angle Q?

OpenStudy (baseballguy101):

OpenStudy (baseballguy101):

z − (w + x) = 360 z + w + x = 360 z + x = 180 z + w = 180

OpenStudy (baseballguy101):

@misssunshinexxoxo

OpenStudy (baseballguy101):

is it b?

OpenStudy (mathstudent55):

In an inscribed quadrilateral, opposite angles are supplementary.

OpenStudy (baseballguy101):

ohh so would it be c then? cause they would add up to 180 right?

OpenStudy (mathstudent55):

The sum of the measures of the angles of a quadrilateral is: (n - 2)180 = (4 - 2)180 = 2(180) = 360 That means x + y + z + w = 360 Choice B is incorrect because it only adds 3 of the angles, not all 4.

OpenStudy (mathstudent55):

Yes, you are correct. The answer is C.

OpenStudy (mathstudent55):

Notice that both choices C and D have angles adding up to 180. In choice C, x and z are opposite angles, so their measures do add up to 180. In choice D, angles z and w are not opposite angles, so we don't know if their measures add up to 180. Besides, there is no mention of angle x in choice D, so D cannot be correct.

OpenStudy (baseballguy101):

alright thank you!!

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