Question

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

Explanation:

Step1: Find x using vertical angles

Vertical angles are equal, so \(2x - 17 = 63\).
Add 17 to both sides: \(2x = 63 + 17 = 80\).
Divide by 2: \(x = \frac{80}{2} = 40\).

Step2: Find y using vertical angles

Vertical angles are equal, so \(y + 23 = 63\).
Subtract 23 from both sides: \(y = 63 - 23 = 40\).

Answer:

\(x = 40\), \(y = 40\)