Question

what is the value of x?
30
45
55
60

Explanation:

Step1: Use the linear - pair property

Since \(3x\) and \(x\) form a linear pair, \(3x + x=180^{\circ}\) (sum of angles in a linear pair is \(180^{\circ}\)).

Step2: Solve the equation

Combine like terms: \(4x = 180^{\circ}\). Then \(x=\frac{180}{4}=45^{\circ}\).

Answer:

\(45\) (corresponding to the option \(45\))