Question

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

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. That is, the sum of two consecutive interior angles is \(180^{\circ}\).
So, \(85^{\circ}+x^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

Subtract \(85^{\circ}\) from both sides of the equation:
\(x = 180 - 85\)

Answer:

\(95\)