What is the measure of angle c?

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Answer 1 · 2018-05-16T22:43:34

#m/_C = 102#

From the Inscribed Quadrilateral Theorem, we can state that:

#/_D + /_B = 180#

#2x - 4 + 3x + 9 = 180#

#5x + 5 = 180#

#5x = 175#

#x = 35#

We can also state that #/_A + /_C = 180#, or #2x + 3 + m/_C = 180#

We can solve for angle C by plugging in our x value, 35.

#2 * 35 + 3 + m/_C = 180#

#78 + m/_C = 180#

#m/_C = 102#