Question

what is m∠1?
103°
32°
m∠1=□°
submit

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 \(103^{\circ}\), and the two non - adjacent interior angles be \(\angle1\) and \(32^{\circ}\). So, \(103^{\circ}=\angle1 + 32^{\circ}\).

Step2: Solve for \(\angle1\)

Rearrange the equation from Step1: \(\angle1=103^{\circ}-32^{\circ}\).

Answer:

\(71\)