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