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\nx =

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

Answer

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is (180^{\circ}). So, for a triangle with angles (95^{\circ}), (35^{\circ}), and (x^{\circ}), we have the equation (95 + 35+x=180).

Step2: Simplify the left - hand side of the equation

First, add (95) and (35): (95 + 35=130). The equation becomes (130 + x=180).

Step3: Solve for (x)

Subtract (130) from both sides of the equation. Using the subtraction property of equality (x=180 - 130).

Answer:

(x = 50)