Question

1. (2x + 25)° y° (3x - 10)°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, \(2x + 25=3x - 10\).

Step2: Solve for \(x\)

Subtract \(2x\) from both sides: \(25=x - 10\). Then add 10 to both sides: \(x=35\).

Step3: Find \(y\)

Since \((2x + 25)+y = 180\) (linear - pair of angles), substitute \(x = 35\) into \(2x+25\). First, \(2x+25=2\times35 + 25=70 + 25 = 95\). Then, \(y=180-(2x + 25)=180 - 95 = 85\).

Answer:

\(x = 35\), \(y = 85\)