Problema Solution
A lobster pot used in Gloucester, Massachusetts, has a small triangular piece of wood at the point where the lobster enters. The measure of the first angle of the triangle is triple the measure of the second angle. The third angle is 30 degrees less than double the measure of the first angle. What are the measures of the three angles?
Answer provided by our tutors
Let
x = the measure of the first angle
y = the measure of the second angle
z = the measure of the third angle
x + y + z = 180
x = 3y
z = 2x - 30
........
click here to see the system of equations solved for x, y and z
........
x = 63 degrees
y = 21 degrees
z = 96 degrees
The measures of the three angles are: 63, 21 and 96 degrees.