Question

question the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2 x = submit 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 \(x^{\circ}\), \(35^{\circ}\), and \(95^{\circ}\), we have the equation \(x + 35+95=180\).

Step2: Simplify the left - hand side of the equation

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

Step3: Solve for \(x\)

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

Answer:

\(x = 50\)