Math Question: In triangle ABC, angle A is bisected by a line segment that intersects BC at point D. If angle A measures 50 degrees, and angle B measures 80 degrees, find the measure of angle BCD.
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Math question: What is the sine of angle A in a right-angled triangle if the opposite side is 12 cm and the hypotenuse is 15 cm?
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Math Question: In triangle ABC, the angle bisector of ∠A intersects BC at point D. If the measure of ∠A is 60° and ∠ACD is 30°, find the measure of ∠BAD.