Question

answer this question

Answer 1

What are complementary angles?

— When the sum of 2 angles = 90° then one angle is called as the complement of the other angle.

In all the cases given below, we are given one of the angle and are asked to find the other angle. Let's denote this unknown angle with the variable x.

1. 25°.

So, here:

25°+x° = 90°.

○TRANSPOSING +25° TO RHS :


x° = 90°-25°.
x° = 65°.

Therefore, the complement of 25° is 65°.



2. 40°.

So, here:

40°+x° = 90°.

○TRANSPOSING +40° TO RHS :


x° = 90°-40°.
x° = 50°.

Therefore, the complement 40° is 50°.


3. 89°.

So, here:

89°+x° = 90°

○TRANSPOSING +89° TO RHS :

x° = 90°-99°.
x° = 1°.

Therefore, the complement of 89° is 1°.


4. 55°.

So, here:

55°+x° = 90°.

○TRANSPOSING +55° TO RHS :

x° = 90°-55°.
x° = 35°.

Therefore, the complement of 55° is 35°.