Question

given m||n, find the value of x. answer attempt 1 out of 2 x=

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((5x - 16)^{\circ}\) and \((6x + 9)^{\circ}\) are supplementary. So, \((5x-16)+(6x + 9)=180\).

Step2: Simplify the equation

Combine like - terms: \(5x+6x-16 + 9=180\), which gives \(11x-7 = 180\).

Step3: Solve for \(x\)

Add \(7\) to both sides: \(11x=180 + 7=187\). Then divide both sides by \(11\): \(x=\frac{187}{11}=17\).

Answer:

\(x = 17\)