Question

2
what is the measure of angle 2?
m<2= degrees

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, \(\angle2\) is an exterior angle. The two non - adjacent interior angles are \(64^{\circ}\) and \(75^{\circ}\).

Step2: Calculate the measure of \(\angle2\)

$$m\angle2=64^{\circ}+75^{\circ}$$

$$m\angle2 = 139^{\circ}$$

Answer:

\(139\)