Imagine that you have 5 blue socks and 5 brown socks in a drawer that are not paired up. how many socks must you take out from the drawer (without looking) to be sure of getting a pair of the same color?

∠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°

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step-by-step explanation: