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 =

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:

\(x = 50\)