In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of angle C is 17 less than 5 times the size of angle A
We have: \(b=4a, c=5a-17, a=a\).
Since the interior angles in a triangle sum to \(180^\circ\), we have \(4a+5a-17+a=180, 10a-17=180, 10a=197, a=19.7, b=19.7*4=78.8\) and \(c=81.5\).
Nice, tertre !!!
Thank you, CPhill!