Quadrilateral EFGH is inscribed inside a circle as shown below. Write a proof showing that angles H and F are supplementary.
I put:Circles are three hundred sixty degrees. A quadrilateral inscribed in a circle has two pairs of opposite angles that when added together equal one hundred eighty degrees. These opposite angles are also known as supplementary angles.
Is this correct?
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OpenStudy (jilltalks):
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this is the last question in my geometry course
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OpenStudy (jilltalks):
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OpenStudy (wolf1728):
Angles H and F are inscribed angles.
http://www.1728.org/circangl.htm
An inscribed angle = half of the intercepted arc.
Angles H and F intercept the entire circle (360 degrees) and so half of this intercepted arc = 180 degrees.