the measure of an exterior angle of triangle is 84 degrees. the measure of one of its remote interior angles is 22 degrees. what are the measures of the other two interior angles of the triangle?

62° and 96°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 remote interior angles.

Let x be the other remote interior angle, then

22 + x = 84 (subtract 22 from both sides)

x = 62

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 known angles from 180 for third angle

third angle = 180 - (62 + 22) = 180 - 84 = 96

The other 2 interior angles are 62° and 96°