A. In your own words, use 2-3 sentences to describe the special relationship between opposite angles when a quadrilateral is inscribed in a circle.

b. Quadrilateral ABCD is inscribed in the circle below.

Write an equation and solve for x.
Find the measure of all four angles. Find m⦨A, m⦨B, m⦨C, and m⦨D.
Explain your steps in solving the problem. Your explanation should include 2-3 sentences.

x = 40°

Angle A: 118°

Angle B: 120°

Angle C: 62°

Angle D: 60°

Step-by-step explanation:

When a quadrilateral is inscribed inside a circle, opposite angles add up to 180.

(x + 20) + 3x = 180

4x + 20 = 180

4x = 160

x = 40°

Angle A: 2(40) + 38 = 118°

Angle B: 3(40) = 120°

Angle C: 180 - 118 = 62°

Angle D: 40 + 20 = 60°

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.