Problema Solution
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 provided by our tutors
let
l = the largest angle
m = the middle angle (remaining angle)
s = the smallest angle
since they are angles of a triangle we have
l + m + s = 180
the measure of the largest angle of a triangle is 3 less than 5 times the measure of the smallest
l = 5s - 3
the measure of the remaining angle is 1 less than twice the measure of the smallest angle
m = 2s - 1
by solving the system of equations
l + m + s = 180
l = 5s - 3
m = 2s - 1
we find
l = 112
m = 45
s = 23
click here to see the step by step solution of the system of equations
the angles of the triangles are 112, 45 and 23 degrees.