Answer:
62° and 54°
Step-by-step explanation:
The exterior angle of a triangle is equal to the 2 opposite interior angles.
116° is an exterior angle of the triangle, thus
2x + 4 + 3x - 13 = 116, that is
5x - 9 = 116 ( add 9 to both sides )
5x = 125 ( divide both sides by 5 )
x = 25
Thus
∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°
∠ B = 2x + 4 = 2(25) + 4 = 50 + 4 = 54°
