Question

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

Explanation:

Step1: Set up the equation

The sum of the angles is \(180^{\circ}\) (straight - line angle). One angle is \(90^{\circ}\) (right - angle), so \((4m - 6)+(6m + 6)+90=180\).
Simplify the left - hand side: \(4m-6 + 6m+6+90=(4m + 6m)+(-6 + 6)+90=10m+90\).
The equation becomes \(10m+90 = 180\).

Step2: Solve for \(m\)

Subtract \(90\) from both sides: \(10m+90-90=180 - 90\), so \(10m=90\).
Divide both sides by \(10\): \(m=\frac{90}{10}\).

Answer:

\(9\)