Answer:
[tex]x =13[/tex]
[tex]y = 24[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Find x and y
To solve for x, we use:
[tex]2x +30 = 5x - 9[/tex] --- corresponding angles
Collect like terms
[tex]5x - 2x = 30 +9[/tex]
[tex]3x = 39[/tex]
Solve for x
[tex]x = \frac{39}{3}[/tex]
[tex]x =13[/tex]
To solve for y, we use:
[tex]\frac{1}{2}y = y - 12[/tex] --- opposite angles at diagonal
Collect like terms
[tex]\frac{1}{2}y - y =- 12[/tex]
[tex]-\frac{1}{2}y =- 12[/tex]
Divide both sides by -1/2
[tex]y = 24[/tex]
