what is the value of m?\n10\n30\n70\n150\n(5m + 100)°\n(2m + 10)°

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: Combine like - terms

Combine the $m$ terms and the constant terms on the left - hand side of the equation. $5m+2m+100 + 10=180$ $7m+110 = 180$

Step3: Isolate the variable term

Subtract 110 from both sides of the equation. $7m=180 - 110$ $7m=70$

Step4: Solve for $m$

Divide both sides of the equation by 7. $m=\frac{70}{7}=10$