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Pls answer 20 pts!!!!!-example-1

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The correct answer is (B) sometimes

Is this statement always, sometimes, or never true?

If (m∠L) and (m∠M) sum to (90°), and (m∠L) is a (25°) angle, then (m∠M) would be (90° - 25° = 65°).

Now, you can evaluate cos(M) and sin(L):

cos(M) = cos(65°)

sin(L) = sin(25°)

Whether cos(M) is equal to sin(L) depends on the specific values of cos(65°) and sin(25°).

Therefore, they are not guaranteed to be equal, so the statement is sometimes true, depending on the values of the angles involved.

User Priyanshu Jindal
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