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Question

Question 8
An angle is greater than 45. Is it's complementary angle greater than 45 or equal to 45 or less than 45?


Solution

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.

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