quadrilateral abcd is inscribed in this circle. what is the measure of angle c? enter your answer in the box.

Step-by-step explanation:

we know that

In an inscribed quadrilateral opposite angles are supplementary

so

In this problem

step 1

Find the value of x

substitute the values and solve for x

step 2

Find the measure of angle A

step 3

Find the measure of angle C

substitute the values and solve for m<C

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x