Question

given ( m parallel n ), find the value of ( x ).

answer attempt 1 out of 2

( x = )

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, consecutive interior angles are supplementary. So, \((6x - 13)^{\circ}+127^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side of the equation:
\(6x-13 + 127=180\)
\(6x+114 = 180\)
Then, subtract 114 from both sides:
\(6x=180 - 114\)
\(6x=66\)
Finally, divide both sides by 6:
\(x=\frac{66}{6}=11\)

Answer:

\(11\)