Question

answer attempt 1 out of 2
the measures of the angles of a triangle are shown in the figure below. solve for 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 \(36^{\circ}\), \(62^{\circ}\), and \(x^{\circ}\), we have the equation \(x + 36+62=180\).

Step2: Simplify the left - hand side of the equation

First, add \(36\) and \(62\): \(36 + 62=98\). The equation becomes \(x+98 = 180\).

Step3: Solve for \(x\)

Subtract \(98\) from both sides of the equation. Using the subtraction property of equality \(x=180 - 98\).
\(x = 82\)

Answer:

\(82\)