Answer:
x = 44 and y = 43
Step-by-step explanation:
We know: If a quadrilateral is inscribed in a circle, then the sum of measures of opposite angles is equal to 180°.
Therefore we have the equations:
[tex](1)\qquad2x+(2x+4)=180\\\\(2)\qquad y+(3y+8)=180[/tex]
Solve:
[tex](1)\\2x+2x+4=180\qquad\text{subtract 4 from both sides}\\\\4x=176\qquad\text{divide both sides by 4}\\\\x=44\\\\(2)\\y+3y+8=180\qquad\text{subtract 8 from both sides}\\\\4y=172\qquad\text{divide both sides by 4}\\\\y=43[/tex]
