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solve for the value of m. (6m+6)° (4m-6)° answer attempt 1 out of 2 m =…

Question

solve for the value of m.
(6m+6)°
(4m-6)°
answer attempt 1 out of 2
m =
submit answer

Explanation:

Step1: Use the property of angles

The sum of the three angles is \(180^{\circ}\), and one angle is \(90^{\circ}\). So \((6m + 6)+(4m-6)+90=180\).

Step2: Simplify the equation

Simplify the left - hand side: \((6m+4m)+(6 - 6)+90=180\), which becomes \(10m+90 = 180\).

Step3: Solve for \(m\)

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

Answer:

\(m = 9\)