Question

Find the values of X and Y so that the quadrilateral shown is a parallelogram

Answer 1

`x =13`

`y = 24`

Explanation:

Given

The attached figure

Required

Find x and y

To solve for x, we use:

`2x +30 = 5x - 9` --- corresponding angles

Collect like terms

`5x - 2x = 30 +9`

`3x = 39`

Solve for x

`x = (39)/(3)`

`x =13`

To solve for y, we use:

`(1)/(2)y = y - 12` --- opposite angles at diagonal

Collect like terms

`(1)/(2)y - y =- 12`

`-(1)/(2)y =- 12`

Divide both sides by -1/2

`y = 24`