Sharif likes exersicing. he goes hill-climbing every 12 days anf goes swimming every 8 days. if je goes hill-climbing and swimming today, how many days later will he go hill-climbing and swimming on the same day?

∠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°