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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 of the triangle

The sum of angles in a triangle is $180^\circ$. Let the third angle be $y$.
$y = 180^\circ - 101^\circ - 29^\circ = 50^\circ$

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

The angle $y$ and $x$ are alternate interior angles, so they are equal.
$x = y = 50^\circ$

Answer:

50