Question

1. find the measure of <1

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the exterior angle be \(134^{\circ}\), and the two non - adjacent interior angles be \(\angle1\) and \(48^{\circ}\). So, \(134^{\circ}=\angle1 + 48^{\circ}\).

Step2: Solve for \(\angle1\)

Subtract \(48^{\circ}\) from both sides of the equation \(134^{\circ}=\angle1 + 48^{\circ}\). We get \(\angle1=134^{\circ}-48^{\circ}\).

Answer:

\(86^{\circ}\)