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​ Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle C?

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°

​ Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C-example-1
User Shahnaz
by
6.6k points

1 Answer

1 vote

Answer:

<C = 107°

Explanation:

2x - 4 + 3x + 9 = 180

5x + 5 = 180

5x = 175

x = 35

<A = 2(35) + 3 = 73

<B = 2(35) - 4 = 66

<D = 3(35) + 9 = 114

<C = 360 - (73 + 66 + 114)

<C =360 - 253

<C = 107

User Shabarinath Volam
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7.2k points