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

Question

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

Philoid · Accepted Answer

Let us assume two angles x and y

Now,

x and y are two angles making a complementary angle pair and x is greater 45^o

Therefore,

x + y = 90^o

y = 90^o – x^o

Hence,

Angle y will be lesser than 45^o