kmc3490 kmc3490

06-03-2018
Mathematics

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Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle C?

Enter your answer in the box.

Quadrilateral ABCD is inscribed in this circle What is the measure of angle C Enter your answer in the box class=

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sqdancefan sqdancefan

10-03-2018

Angles B and D are supplementary. That fact can be used to find x.
.. (3x +9) +(2x -4) = 180
.. 5x +5 = 180
.. x = 175/5 = 35

Then ∠A = (2*35 +3)° = 73°. That is supplementary to ∠C, so
.. ∠C = 180° -73° = 107°

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