Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

Let the three angles of the triangle be \(x\), 45°, and 39°. So, \(x + 45+39=180\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(x+(45 + 39)=x + 84\). Then, the equation becomes \(x+84 = 180\). Subtract 84 from both sides: \(x=180 - 84\).
\(x = 96\)

Answer:

96