Question

find the value of x.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(39^\circ + 75^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Add \(39^\circ\) and \(75^\circ\): \(39 + 75 = 114\). So, \(114^\circ + x^\circ = 180^\circ\).

Step3: Solve for x

Subtract \(114^\circ\) from \(180^\circ\): \(x = 180 - 114 = 66\).

Answer:

\(x = 66\)