Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

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

Step2: Set up the equation

Let the three angles of the triangle be \(x\), 30°, and 45°. So, \(x + 30+45=180\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(x + 75 = 180\). Then, subtract 75 from both sides: \(x=180 - 75\).

Answer:

105