Question

1. if two angles of a triangle measure 20 and 130 degrees, what is the measure of the third angle? 40° 60° 50° 30°

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Let the third - angle be \(x\)

We know that \(20^{\circ}+130^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(20 + 130+x=150 + x\). Then, from the equation \(150 + x=180\), we subtract 150 from both sides: \(x=180 - 150\).

Answer:

\(30^{\circ}\)