Question

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

Explanation:

Step1: Find adjacent angle to 120°

The angle adjacent to 120° on line \(m\) is \(180^\circ - 120^\circ = 60^\circ\).

Step2: Sum of triangle angles is 180°

The triangle has angles \(55^\circ\), \(60^\circ\), and \(x^\circ\). So \(x = 180^\circ - 55^\circ - 60^\circ\).

Step3: Calculate x

\(x = 180 - 55 - 60 = 65\).

Answer:

65