Problema Solution

If the largest angle in a triangle is 5 times the measure of the smallest angle, and the middle-sized angle is 20 degrees greater than twice the measure of the smallest angle, what are the three angles?

Answer provided by our tutors

let x,y,z be the angles and x the smallest

z=5x

y=20+2x

x+y+z=180

x+20+2x+5x=180

8x=160

x=20

y=20+40=60

x=5*20=100