Question

solve for the value of m.

Explanation:

Step1: Set up equation

Since the two angles are supplementary (sum to 180°), we have the equation $84+(5m + 1)=180$.

Step2: Simplify left - hand side

Combine like terms: $84 + 1+5m=180$, which gives $85+5m = 180$.

Step3: Isolate the term with $m$

Subtract 85 from both sides: $5m=180 - 85$. So, $5m=95$.

Step4: Solve for $m$

Divide both sides by 5: $m=\frac{95}{5}$.

Answer:

$m = 19$