Question

find the value of x.
(there is a triangle and a straight line forming an angle of 148° with one side of the triangle, and one angle inside the triangle is 96°, and the angle to be found is x°)

Explanation:

Step1: Find the adjacent angle

The angle adjacent to \(148^\circ\) on a straight line is \(180^\circ - 148^\circ = 32^\circ\).

Step2: Use triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So \(x + 96^\circ + 32^\circ = 180^\circ\).

Step3: Solve for x

\(x = 180^\circ - 96^\circ - 32^\circ = 52^\circ\).

Answer:

\(x = 52\)