Question

If $\angle A$ and $\angle B$ add up to 90°, then which of the following statements is true.

• A. $\angle A$ is the supplement of $\angle B.$
• B. $\angle B$ is the complement of $\angle A.$
• C. $\angle B$ is the supplement of $\angle A.$
• D. None of the above

Answer 1

The correct option is B $\angle B$ is the complement of $\angle A.$

Given: $\angle A$ and $\angle B$ add up to 90°.

We know that when the sum of two angles is 90°, they are called complementary angles.

Here, $\angle A+\angle B={90}^{\circ }$
$\Rightarrow$ $\angle A$ and $\angle B$ are complementary angles.

So, $\angle A$ will be the complement of $\angle B$ i.e. $\angle A={90}^{\circ }-\angle B$

and $\angle B$ will be the complement of $\angle A$ i.e. $\angle B={90}^{\circ }-\angle A$