Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(63^{\circ}+36^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(63\) and \(36\): \(63 + 36=99\). The equation becomes \(99 + x=180\).

Step3: Solve for \(x\)

Subtract \(99\) from both sides of the equation: \(x=180 - 99\).

Answer:

\(x = 81\)