Question

1. given an interior angle of 45 degrees, what would be the measure of its adjacent (corresponding) exterior angle? 135 degrees 180 degrees 45 degrees 90 degrees

Explanation:

Step1: Recall the relationship between interior and adjacent exterior angles

The sum of an interior angle and its adjacent exterior angle is \(180^{\circ}\). Let the interior angle be \(I = 45^{\circ}\) and the adjacent exterior angle be \(E\). Then \(I+E = 180^{\circ}\).

Step2: Solve for the exterior angle

Substitute \(I = 45^{\circ}\) into the equation \(I + E=180^{\circ}\). We get \(E=180^{\circ}-I\). So \(E = 180^{\circ}- 45^{\circ}=135^{\circ}\).

Answer:

135 degrees