At Lake Clay, marine biologists catch, tag, and release 50 smallmouth bass. Over the next few days, they catch 175 smallmouth bass, of which 7 have the original tags. What is the estimated population of smallmouth bass in Lake Clay?

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°