What is the measure of angle c?

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1 Answer
May 16, 2018

m/_C = 102

Explanation:

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