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Write three ratios equivalent to the ratio described in each situation. The ratio of boys to girls on the bus is 20/15
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but anyway, the numerator will give the angles, and θ is just half of each
ok... that's a negative tiny angle, is in the 4th quadrant, if we stick to the range given, from 0 to 360, so we have to use the positive version of it, 360-4.025
so the angle is 355.975°
now, the 3rd quadrant has another angle whose sine is negative, so... if we move from the 180° line down by 4.025, we end up at 184.025°
and those are the only two angles, because, on the 2nd and 1st quadrants, the sine is positive, so it wouldn't have an angle there