Question

what is the value of m? 10 30 70 150

Explanation:

Step1: Set up the equation

Since \((5m + 100)^{\circ}\) and \((2m+10)^{\circ}\) are supplementary angles (they form a linear pair), their sum is \(180^{\circ}\). So, \((5m + 100)+(2m + 10)=180\).

Step2: Simplify the left - hand side

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