what is the value of m? (5m + 100)° (2m + 10)° 10 30 70 150

Answer

Explanation:

Step1: Identify angle - relationship

The angles $(5m + 100)^{\circ}$ and $(2m+10)^{\circ}$ are supplementary (linear - pair of angles), so their sum is $180^{\circ}$. $(5m + 100)+(2m + 10)=180$

Step2: Simplify the left - hand side

Combine like terms: $5m+2m+100 + 10=180$, which gives $7m+110 = 180$.

Step3: Isolate the variable term

Subtract 110 from both sides: $7m=180 - 110$, so $7m=70$.

Step4: Solve for m

Divide both sides by 7: $m=\frac{70}{7}=10$.