Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation \(55 + 76+x=180\).

Step2: Simplify the left - hand side

First, add 55 and 76: \(55 + 76=131\). The equation becomes \(131 + x=180\).

Step3: Solve for x

Subtract 131 from both sides of the equation: \(x=180 - 131\).
\(x = 49\)

Answer:

49