Given a ∆ with exterior angles (55x)°, (40x)°, (85x)°a. Find the measure of the largest exterior angle. b. Find the measure of the smallest interior angle.

Answer:Part A : 170Part B: 10Step-by-step explanation:In any convex polygon, the exterior angles add to 360 degrees.55x + 40x + 85x = 360         Combine the left side180x = 360                             Divide by 180180x/180 = 360/180x = 2Part AThe largest exterior angle is going to be 85x = 85*2 = 170 degrees.Part BThe exterior and interior angles are supplementary. That is they add up to 180 degrees.The smallest one is going to be with the 85x angle. That angle eats up a lot of real estate.Let y = the interior angle. Set up the equation85x + y = 180              Solve for 85x170 + y = 180               Subtract 170 from both sides170 - 170  + y = 180 - 170y = 10 degrees