Question

The measure of the largest angle of a triangle is 3 less than 5 times the measure of the smallest . the measure of the remaining angle is 1 less than twice the measure of the smallest angle. find the measure of each angle.

Answer 1

Suppose the smallest angle is x
the largest is 5x-3
the remaining angle is 2x-1
the three angles make a sum of 180: x+5x-3+2x-1=180
8x-4=180
8x=184
x=23
the smallest angle is 23 degree.