Question

examples: solve for x. then 1. 59° 75° x°

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(59^{\circ}+75^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(59^{\circ}\) and \(75^{\circ}\): \(59 + 75=134\). Then the equation becomes \(134^{\circ}+x^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(134^{\circ}\) from both sides of the equation: \(x^{\circ}=180^{\circ}-134^{\circ}\).

Answer:

\(x = 46\)