Question

what is m∠1? m∠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.
For the given triangle, \(\angle1\) is an exterior angle. The two non - adjacent interior angles are \(30^{\circ}\) and \(40^{\circ}\).

Step2: <Calculate \(m\angle1\)>

By the exterior angle theorem, \(m\angle1=30^{\circ}+40^{\circ}\).
\(m\angle1 = 70^{\circ}\)

Answer:

\(70\)