A triangle has angle measures that are related as follows:
I) the largest angle is eight times the smallest angle.
ii) the middle angle is triple the smallest angle.
a) sketch the triangle and label its angles using your chosen variable.
choose one variable and explain what it represents.
b) the angles of the triangle add up to 180 degrees. write and simplify an equation to represent the sum of the angles of this triangle. do not solve the equation yet. write a concluding statement.
c) using the equation from part b) calculate the measures of the angles.

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?