Question

1. if l || m, find the value of y.

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\), the corresponding - angles are equal. So, \(7x = 5x+30\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation \(7x = 5x + 30\). We get \(7x-5x=5x + 30-5x\), which simplifies to \(2x=30\). Then divide both sides by 2: \(x=\frac{30}{2}=15\).

Step3: Find the value of \(y\)

The angle \(y\) and the angle \((5x + 30)^{\circ}\) are vertical angles. Vertical angles are equal. First, find the value of \(5x+30\) when \(x = 15\). Substitute \(x = 15\) into \(5x+30\), we get \(5\times15+30=75 + 30=105\). So \(y = 105\).

Answer:

105