In triangle abc, which side is the longest if these are the measures of the angles? m∠a = 60°, m∠b = (3x − 2)°, m∠c = (2x + 7)°

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?