Q:

PLEASE HELP ASAP FOR LOTS OF POINTS AND BRAINLIESTFind x and y.What is the measure of each angle of quadrilateral EFGH?What is the measure of arc HF?

Accepted Solution

A:
Answer:x = 55y = 60Step-by-step explanation:If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary. So E and G are supplementary, and H and F are supplementary.x + 15 + 2x = 1803x + 15 = 180          combine like terms3x = 165                  subtract 15 from both sidesx = 55                       divide both sides by 3y + 3y - 60 = 1804y - 60 = 180           combine like terms4y = 240                  subtract 60 from both sidesy = 60                      divide both sides by 4