Question

question
given ( mparallel n ), find the value of x.
answer
attempt 1 out of 2
( x=)

Explanation:

Step1: Use the property of supplementary angles

Since \(m\parallel n\), the two angles \((2x - 29)^{\circ}\) and \((10x+5)^{\circ}\) are supplementary. So, \((2x - 29)+(10x + 5)=180\).

Step2: Simplify the equation

Combine like - terms: \(2x+10x-29 + 5=180\), which gives \(12x-24 = 180\).

Step3: Solve for \(x\)

Add \(24\) to both sides: \(12x=180 + 24\), so \(12x=204\). Then divide both sides by \(12\): \(x=\frac{204}{12}=17\).

Answer:

\(13\)