Answer :

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°