Is this statement always, sometimes, or never true?If ∠T and ∠U are complementary angles and m∠U is more than 55°, then sin(T)=sin(U).
Question
Solution 1
This statement is never true. Here's why:
Complementary angles are two angles whose measures add up to 90 degrees. So if ∠T and ∠U are complementary, then m∠T + m∠U = 90°.
The problem states that m∠U is more than 55°. This means that m∠T must be less than 35° (since 90 - 55 = 35).
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