Question

find the value of x.
(there is a triangle with angles x°, 74°, and 72° shown in the image.)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(x + 72 + 74 = 180\).

Step2: Calculate sum of known angles

Add \(72\) and \(74\): \(72 + 74 = 146\).

Step3: Solve for \(x\)

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

Answer:

\(34\)