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find the value of x. (there is a triangle with angles x°, 116°, 31° and…

Question

find the value of x.
(there is a triangle with angles x°, 116°, 31° and a box with x = 12)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(x + 116 + 31 = 180\).

Step2: Simplify and solve for x

First, add \(116\) and \(31\): \(116 + 31 = 147\). Then, \(x + 147 = 180\). Subtract \(147\) from both sides: \(x = 180 - 147 = 33\).

Answer:

\(x = 33\)