Question

X =

y =

m ∠ H =

m ∠ G =

Answer 1

x=53

y=26

H=106

G=93

Explanation:

By the inscribed quadrilateral conjecture:

`2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93`

Hope this helps!