What is the measure of angle cap r in triangle QRS shown, given r is equal to 10 , q is equal to 20 , and cap q is equal to 100 degrees ? Round the answer to the nearest tenth.

Use the Law of Sines: sin(R)/r = sin(Q)/q. Substituting r = 10, q = 20, and Q = 100° gives sin(R) = (10/20)sin(100°) ≈ 0.4924, so R ≈ 29.5°. The correct choice is 29.5 degrees.

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