Question

find the value of x.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(30^\circ + 116^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(30^\circ\) and \(116^\circ\): \(30 + 116 = 146\). So, \(146^\circ + x^\circ = 180^\circ\).

Step3: Solve for \(x\)

Subtract \(146^\circ\) from \(180^\circ\): \(x = 180 - 146 = 34\).

Answer:

\(34\)