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 \(50^{\circ}\) and \(71^{\circ}\).

Step2: Calculate \(m\angle1\)

$$m\angle1=50^{\circ}+71^{\circ}$$

$$m\angle1 = 121^{\circ}$$

Answer:

\(121\)