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QUESTION IMAGE

in the figure below, ( l parallel m ). find ( x ).

Question

in the figure below, ( l parallel m ). find ( x ).

Explanation:

Step1: Find the third angle in the triangle

The sum of angles in a triangle is \(180^\circ\). So the third angle \(y\) (let's say) is \(180 - 39 - 93\).
\(180 - 39 - 93 = 48^\circ\).

Step2: Use alternate interior angles (since \(l \parallel m\))

The angle \(x\) and the angle we just found (\(48^\circ\)) are alternate interior angles, so they are equal. Thus, \(x = 48\).

Answer:

\(48\)