Question

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

Explanation:

Step1: Recall straight angle property

A straight angle is \(180^\circ\). The three angles (\(33^\circ\), \(x^\circ\), \(67^\circ\)) form a straight angle.

Step2: Set up the equation

\(33 + x + 67 = 180\)

Step3: Simplify and solve for \(x\)

First, add \(33\) and \(67\): \(33 + 67 = 100\). Then the equation becomes \(x + 100 = 180\). Subtract \(100\) from both sides: \(x = 180 - 100 = 80\).

Answer:

\(80\)