Problema Solution
the largest angle of a triangle has a measure 22 degrees less than twice the measure of the smallest angle. the measure of the other angle is 2 degrees more than the smallest angle.what is the measure of the largest angle?
Answer provided by our tutors
let 'x' represent the smallest angle, then '2x-22' represents the largest angle and 'x+2' represents the third angle
there are 180 degrees in every triangle, therefore:
180 = x + 2x-22 + x+2
202 = 4x + 2
200 = 4x
x = 200/4 = 50
2*50 - 22 = 78
50 + 2 = 52
the angles are 50, 52 and 78