Question

using linear pairs to find an unknown value
what is the value of x?
30
45
55
60

Explanation:

Step1: Use the linear - pair property

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

Step2: Solve the equation

Combine like terms: \(4x = 180\). Then, divide both sides by \(4\): \(x=\frac{180}{4}=45\).

Answer:

45