Question

find the values of x and y.
drawing not to scale
o x = 17, y = 15
o x = 68, y = 112
o x = 15, y = 17
o x = 112, y = 68

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $7x + 7=112$.

Step2: Solve for x

Subtract 7 from both sides of the equation $7x+7 = 112$: $7x=112 - 7=105$. Then divide both sides by 7, $x=\frac{105}{7}=15$.

Step3: Use linear - pair property

The sum of angles in a linear - pair is $180^{\circ}$. So, $4y+112 = 180$.

Step4: Solve for y

Subtract 112 from both sides of the equation $4y + 112=180$: $4y=180 - 112 = 68$. Then divide both sides by 4, $y=\frac{68}{4}=17$.

Answer:

$x = 15,y = 17$