Question

given ( mparallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of adjacent angles on a straight line

When two angles are adjacent and form a straight line, their sum is \(180^{\circ}\). So, \((3x + 29)+(10x-5)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(3x+10x+29 - 5=180\), which gives \(13x+24 = 180\).

Step3: Isolate the term with \(x\)

Subtract \(24\) from both sides: \(13x=180 - 24\), so \(13x=156\).

Step4: Solve for \(x\)

Divide both sides by \(13\): \(x=\frac{156}{13}\).

Answer:

\(x = 12\)