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