Problema Solution

The measure of one angle of a triangle is two-thirds the measure of a second angle, and the measure of the second angle is 28° greater than the measure of the third angle.

Answer provided by our tutors

we assume this is a triangle since three angles are provided


let 'x' represent the measure of the third angle, then 'x+28' represents

the measure of the second angle and "(2/3)(x+28)" represents the measure

of the first angle


the sum of the angles in a triangle is 180-degrees, so:

x + x+28 + (2/3)(x+28) = 180

solving for 'x' we have x=50


50+28 = 78

(2/3)(50+28) = 52


the angles are 52, 78 and 50