Question

near pairs and vertical angles
what is the value of ( m )?

Explanation:

Step1: Use the property of linear pairs

Linear pairs of angles sum to \(180^{\circ}\). So, \((5m + 100)+(2m + 10)=180\).

Step2: Simplify the equation

Combine like - terms: \(5m+2m+100 + 10=180\), which gives \(7m+110 = 180\).

Step3: Solve for \(m\)

Subtract \(110\) from both sides: \(7m=180 - 110\), so \(7m = 70\). Then divide both sides by \(7\): \(m=\frac{70}{7}=10\).

Answer:

\(10\)