Question

given the diagram below, find the value of x and y.
(y + 23)°
63°
(2x - 17)°
x =
y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $y + 23=63$.

Step2: Solve for y

Subtract 23 from both sides of the equation $y + 23=63$. We get $y=63 - 23=40$.

Step3: Use another vertical - angle property

The other pair of vertical angles gives $2x-17 = 63$.

Step4: Solve for x

Add 17 to both sides: $2x=63 + 17=80$. Then divide both sides by 2, so $x = 40$.

Answer:

$x = 40$
$y = 40$