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.

Step2: Identify non - adjacent angles

The non - adjacent interior angles to the exterior angle of measure 85° are ∠1 and 44°.
So, \(m\angle1+44^{\circ}=85^{\circ}\).

Step3: Solve for \(m\angle1\)

Subtract 44° from both sides of the equation: \(m\angle1 = 85^{\circ}-44^{\circ}\).
\(m\angle1=41^{\circ}\)

Answer:

41