Answer:
∠1 = 156°
∠2 = 24°
Step-by-step explanation:
You want the measures of angles 1 and 2 in the triangle figure shown.
Exterior angle
Angle 1 is an exterior angle to the triangle. As such, its measure is the sum of the measures of the remote interior angles:
∠1 = 72° +84°
∠1 = 156°
Linear pair
Angles 1 and 2 form a linear pair. This means they are supplementary:
∠2 = 180° -∠1 = 180° -156°
∠2 = 24°
