the measures of the angles of a triangle are shown in the figure below. solve for x.\nanswer attempt 1 out…

the measures of the angles of a triangle are shown in the figure below. solve for x.\nanswer attempt 1 out of 2\n$x =$

the measures of the angles of a triangle are shown in the figure below. solve for x.\nanswer attempt 1 out of 2\n$x =$

Answer

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation (83 + 41+x=180).

Step2: Simplify the left - hand side

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

Step3: Solve for x

Subtract 124 from both sides of the equation: (x=180 - 124). (x = 56)

Answer:

56