Question

determine the value of x.

enter the correct value in the box.

x = \square

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(82^\circ + 56^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

Sum of known angles: \(82 + 56 = 138\).

Step3: Solve for \(x\)

Subtract from \(180\): \(x = 180 - 138 = 42\).

Answer:

\(x = 42\)