Question

solve for the value of m.
(6m+6)°
(4m-6)°
answer
m =
submit answer

Explanation:

Step1: Set up the equation

Since the sum of the angles is \(90^{\circ}\) (right - angle), we have \((6m + 6)+(4m-6)=90\).

Step2: Simplify the left - hand side

Combine like terms: \(6m+6 + 4m-6=(6m + 4m)+(6 - 6)=10m\). So the equation becomes \(10m=90\).

Step3: Solve for \(m\)

Divide both sides of the equation \(10m = 90\) by \(10\): \(m=\frac{90}{10}\).

Answer:

\(m = 9\)