An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?

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Solution

Let A and B are two angles making a complementary angle pair and A is greater than 45º.

A + B = 90º

B = 90º − A

Therefore, B will be lesser than 45º.

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Question 70

State whether the statement is True or False.

An angle is more than $45^{\circ}$ . Its complementary angle must be less than $45^{\circ}$ .

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