The measure of the smallest angle of a triangle is 20° less than the measure of the next larger angle. Find the measures of all three angles

Answer 1

s = m-20

s+m = 180-L

m-20+m = 180-L

2m +L = 180+20 = 200

L = 200-2m

s+m+L = 180

m-20 +m +200-m=180

m = 180-200+20 = 40 degrees = middle sized angle= 2pi/9 radians

s = 20 degrees = smallest angle = pi/9 radians

L = 120 degrees = Largest angle= 2pi/3 radians