Question

find the value of x.

Explanation:

Step1: Find the adjacent interior angle

The angle adjacent to \(144^\circ\) on a straight line is supplementary, so it is \(180^\circ - 144^\circ = 36^\circ\).

Step2: Use triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So \(x + 99^\circ + 36^\circ = 180^\circ\).
Simplify: \(x + 135^\circ = 180^\circ\).
Subtract \(135^\circ\) from both sides: \(x = 180^\circ - 135^\circ = 45^\circ\).

Answer:

\(x = 45\)