Find the measures of the three angles of a triangle if the s

Find the measures of the three angles of a triangle if the second angle is 7 less than twice the first angle and the sum of the second and third angle is 22 less than three times the first angle. Recall that the angles of a triangle have a sum of 180 degrees.

Solution

Let the 1st angle be F
Since the 2nd angle is 7 less than twice the 1st, then 2nd angle = 2F - 7
Let the 3rd angle be T
Now, since the sum of the 2nd and 3rd angles is 22 less than three times the 1st, then we