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°

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1