Question

solve for the value of m.
answer attempt 1 out of 2
m =

Explanation:

Step1: Set up the equation

Since the two angles \((8m + 7)^{\circ}\) and \((5m+5)^{\circ}\) are complementary (they form a right - angle, so their sum is \(90^{\circ}\)), 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 variable term

Subtract \(12\) from both sides of the equation: \(13m+12-12=90 - 12\), so \(13m=78\).

Step4: Solve for \(m\)

Divide both sides by \(13\): \(m=\frac{78}{13}=6\).

Answer:

\(m = 6\)