Question

the measures of the angles of a triangle are shown in the figure below. solve for
answer attempt 1 out of 2

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(83^{\circ}+41^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(83\) and \(41\): \(83 + 41=124\). Then the equation becomes \(124+x = 180\).

Step3: Solve for \(x\)

Subtract \(124\) from both sides of the equation: \(x=180 - 124\).

Answer:

\(x = 56\)