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Please help with this.


Quadrilateral ABCD ​ is inscribed in circle O.

What is ​ m∠C ​ ?



Enter your answer in the box.

Please help with this Quadrilateral ABCD is inscribed in circle O What is mC Enter your answer in the box class=

Respuesta :

Hello,

When you have an polygon inscribed in a circle, the opposite angles are supplementary.

Therefore, we can write and solve the following equation.
2x + 3 + 4x + 3 = 180
6x = 174
x = 29

If you substitution 29 into the expression for C, you will find that C = 59.
2(29) + 1 = 59

Good luck,
MrEQ