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

Question

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

Explanation:

Step1: Identify supplementary angles

The angle of \(103^\circ\) and \(x^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).
\[103 + x = 180\]

Step2: Solve for \(x\)

Subtract \(103\) from both sides of the equation.
\[x = 180 - 103\]
\[x = 77\]

Answer:

\(x = 77\)