Question

what is m∠1? m∠1 =

Explanation:

Step1: Recall 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 \(140^{\circ}\), and the two non - adjacent interior angles be \(m\angle1\) and \(45^{\circ}\). So, \(140^{\circ}=m\angle1 + 45^{\circ}\).

Step2: Solve for \(m\angle1\)

Subtract \(45^{\circ}\) from both sides of the equation: \(m\angle1=140^{\circ}- 45^{\circ}\).
\(m\angle1 = 95^{\circ}\)

Answer:

\(95\)