Question

what is m∠1? 150° 56° m∠1 =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the exterior angle be \(150^{\circ}\), one non - adjacent interior angle be \(56^{\circ}\), and the other be \(\angle1\). So, \(150^{\circ}=m\angle1 + 56^{\circ}\).

Step2: Solve for \(m\angle1\)

We can rewrite the equation as \(m\angle1=150^{\circ}- 56^{\circ}\).

Answer:

\(94^{\circ}\)