Question

1. find x and y

x = ____
y = ____

Explanation:

Step1: Find x using vertical angles

Vertical angles are equal, so \(5x = 40\).
To solve for \(x\), divide both sides by 5: \(x=\frac{40}{5}=8\).

Step2: Find y using supplementary angles

\(y\) and \(40^\circ\) are supplementary (they form a linear pair), so \(y + 40=180\).
Subtract 40 from both sides: \(y = 180 - 40 = 140\).

Answer:

\(x = 8\), \(y = 140\)