Final answer:
To find the measure of angle K in triangle JKL, you can use the Law of Cosines. Plugging in the given values and solving the equation, the approximate measure of angle K is 66°.
Step-by-step explanation:
To find the measure of angle K, we can use the Law of Cosines. The Law of Cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides multiplied by the cosine of the angle between them.
Using this formula for side K, we have: K^2 = J^2 + L^2 - 2(J)(L)cos(K). Plugging in the values given, we get: K^2 = 200^2 + 980^2 - 2(200)(980)cos(K).
To solve for K, we can rearrange the equation and solve using a calculator or software that can find the value of cosine. The approximate value of angle K to the nearest degree is 66°, so the correct answer is (b) 66°.