Question

Which of the following represents the values of x and y?

Answer 1

A. x=44 y=43

Explanation:

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Answer 2

x = 44 and y = 43

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:

`(1)\qquad2x+(2x+4)=180\\\\(2)\qquad y+(3y+8)=180`

Solve:

`(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`