Question

in the figure below, l || m. find x.

Explanation:

Step1: Use property of alternate - interior angles

Since \(l\parallel m\), the angle corresponding to the non - \(x\) angle in the triangle is \(33^{\circ}\) (alternate - interior angles).

Step2: Apply angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). In the triangle, we have \(x + 80+33=180\).

Step3: Solve for \(x\)

\[

$$\begin{align*} x&=180-(80 + 33)\\ x&=180 - 113\\ x&=67 \end{align*}$$

\]

Answer:

\(x = 67\)