Problema Solution
in a triangle the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 30 degrees more than the measure of the second angle. Find the measure of each angle.
Answer provided by our tutors
Let
x = the measure of the first angle, x>0
y = the measure of the first angle, y>0
z = the measure of the first angle, z>0
x + y + z = 180
The measure of the first angle is three times the measure of the second angle:
x = 3y
The measure of the third angle is 30 degrees more than the measure of the second angle:
z = 30 + y
We have the following system of equations:
x + y + z = 180
x = 3y
z = 30 + y
........
........
x = 90 degrees
y = 30 degrees
z = 60 degrees
The measures of the angles in the triangle are: 90 degrees, 30 degrees and 60 degrees.