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

Let the complementary angles be x and y, i.e., x + y = 90°
It is given that x > 45°
Adding y both sides, x + y > 45° + y
⇒ 90° > 45° + y
⇒ 90° – 45° > y
⇒ y < 45°
Thus, its complementary angle is less than 45° .

Class 7 Maths Chapter 5 Exercise 5.1

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