Exercise 47 Page 594

According to the Exterior Angle Theorem, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. Therefore, if the sum of the two smaller angles equal the larger angle, we know that the set could represent the measure of an exterior angle and two interior angles.

Set	Sum	=
A	62^(∘)+38^(∘)	100^(∘)
B	57^(∘)+24^(∘)	81^(∘)
C	68^(∘)+49^(∘)	117^(∘)
D	85^(∘)+28^(∘)	113^(∘)
E	78^(∘)+68^(∘)	146^(∘)
F	101^(∘)+48^(∘)	149^(∘)