HELP URGENT!!!! WILL MARK BRAINLIEST!!!
Quadrilateral ABCD ​ is inscribed in circle O.

What is ​ m∠C ​ ?



Enter your answer in the box.


°

A quadrilateral is inscribed in a circle O. The vertices of the quadrilateral lie on the edge of the circle and are labeled as A, B, C, and D. The interior angle B is labeled as 2 x plus 3. The interior angle C is labeled as 2 x plus 1. The interior angle D is labeled as 4 x plus 3.

HELP URGENT WILL MARK BRAINLIEST Quadrilateral ABCD is inscribed in circle O What is mC Enter your answer in the box A quadrilateral is inscribed in a circle O class=

Respuesta :

Opposite angles of inscribed quadrilaterals are supplementary.

That means ∠D + ∠B = 180°

So, we can substitute in the given values.

(4x + 3) + (2x + 3) = 180

Solve for x.

4x + 3 + 2x + 3 = 180

6x + 6 = 180

6x = 174

x = 29

We know ∠C = 2x + 1, so we can substitute our value of x in.

∠C = 2x + 1

∠C = 2 * 29 + 1

∠C = 58 + 1

∠C = 59°

Answer:

m∠C = 59°

Step-by-step explanation:

Verified correct with test results.