Question

An angle is more than $$45^o$$. Its complementary angle must be less than $$45^o$$.

Answer 1

Correct option is A. True

Let $$x$$ and $$y$$ are two angles making a complementary angles, and $$x$$ is greater than $$45$$ degrees.

$$\Rightarrow \ x+y=90^o$$

$$\Rightarrow \ y=90^o -x$$.

As $$90=2\times45$$.

Therefore, $$y$$ will be less than $$45$$ degrees.

Hence, given statement is true.

Therefore, option $$A$$ is correct.