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QUESTION IMAGE

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

Question

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

Explanation:

Step1: Use the property of adjacent angles

When two angles are adjacent and form a linear pair, their sum is \(180^{\circ}\). Here, \(x\) and \(98^{\circ}\) are adjacent angles on a straight line.
So, \(x + 98=180\)

Step2: Solve for \(x\)

Subtract \(98\) from both sides of the equation:
\(x=180 - 98\)
\(x = 82\)

Answer:

\(82\)