Question

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

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\) and \(n\) are cut by a transversal \(t\), the given angles \((2x - 29)^{\circ}\) and \((7x+2)^{\circ}\) are supplementary. So, \((2x - 29)+(7x + 2)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(2x+7x-29 + 2=180\), which gives \(9x-27 = 180\).

Step3: Isolate the variable term

Add 27 to both sides of the equation: \(9x-27+27=180 + 27\), resulting in \(9x=207\).

Step4: Solve for \(x\)

Divide both sides by 9: \(x=\frac{207}{9}=23\).

Answer:

\(23\)