Question 220113
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’ll have:


2F – 7 + T = 3F – 22. Solving for the 3rd angle, or T, we get:  T = 3F – 2F – 22 + 7, or T = F - 15


Now, since we have the 3 angles, we set an equation equal to 180 (angles of a triangle are supplementary), as follows:


F + 2F – 7 + F – 15 = 180


F + 2F + F = 180 + 7 + 15


4F  =  202


F  =  {{{202/4}}} = {{{50.5}}}


Therefore, the 1st angle, or F = {{{highlight_green(50.5)}}}


The 2nd angle, or 2F – 7 = {{{highlight_green(94)}}}


The 3rd angle, or F – 15 = {{{highlight_green(35.5)}}}