Question

find the value of x.
a triangle with angles 41°, 83°, and x° is shown. there is a box to enter the value of x with x = and two buttons, one with a refresh symbol and one with an x.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Set up the equation

For the triangle, \(x + 41 + 83 = 180\).

Step3: Solve for x

Simplify: \(x + 124 = 180\). Subtract 124: \(x = 180 - 124 = 56\).

Answer:

\(x = 56\)