Question

1. if one of the interior angles of a triangle is 50 degrees, what is the measure of its adjacent (corresponding) exterior angle? 140 degrees 50 degrees 130 degrees 180 degrees

Explanation:

Step1: Relationship between interior and exterior angle

An interior angle and its adjacent exterior angle of a triangle are supplementary. That is, their sum is \(180^{\circ}\). Let the interior angle be \(I = 50^{\circ}\) and the exterior angle be \(E\). Then \(I+E = 180^{\circ}\).

Step2: Solve for the exterior angle

Substitute \(I = 50^{\circ}\) into the equation \(I + E=180^{\circ}\). We get \(E=180^{\circ}-I\). Plugging in \(I = 50^{\circ}\), we have \(E = 180^{\circ}- 50^{\circ}=130^{\circ}\).

Answer:

130 degrees