Question

solve for the value of m. answer m =

Explanation:

Step1: Set up the equation

Since the two angles are complementary (sum to 90°), we have the equation $(8m + 7)+(5m+5)=90$.

Step2: Combine like - terms

Combine the $m$ terms and the constant terms: $8m+5m + 7 + 5=90$, which simplifies to $13m+12 = 90$.

Step3: Isolate the term with $m$

Subtract 12 from both sides of the equation: $13m=90 - 12$, so $13m=78$.

Step4: Solve for $m$

Divide both sides by 13: $m=\frac{78}{13}$.

Answer:

$m = 6$