Problema Solution
One angle of a triangle has a measure of 47 degrees. Of the
other two angles, one of them is 3 degrees smaller than three
times the other angle. Find the measures of the two
remaining angles.
Answer provided by our tutors
let A, B and C represent the angles of the triangle
A = 47 degrees
A + B + C = 180
47 + B + C = 180
of the other two angles, one of them is 3 degrees smaller than three times the other angle:
B = 3C - 3
by solving the system of equations:
47 + B + C = 180
B = 3C - 3
we find:
B = 99 degrees
C = 34 degrees
click here to see the step by step solution of the system of equations:
the measures of the two remaining angles are: 99 degrees and 34 degrees.