Question

Directions: Find the complemen

ANGLE
EXAMPLE: 54°
1. 63°
2. 87°
3. 45°
4. 72°
5. 5°​

Answer 1

Given:

The angles are:

Example
`54^\circ`

1.
`63^\circ`

2.
`87^\circ`

3.
`45^\circ`

4.
`72^\circ`

5.
`5^\circ`

To find:

The complimentary angle of the given angles.

Solution:

If two angles are complimentary, then their sum is 90 degrees.

Example: Let x be the complimentary angle of
`54^\circ`, then

`x+54^\circ=90^\circ`

`x=90^\circ -54^\circ`

`x=36^\circ`

Similarly,

1. The complimentary angle of
`63^\circ` is:

`90^\circ -63^\circ=27^\circ`

2. The complimentary angle of
`87^\circ` is:

`90^\circ -87^\circ=3^\circ`

3. The complimentary angle of
`45^\circ` is:

`90^\circ -45^\circ=45^\circ`

4. The complimentary angle of
`72^\circ` is:

`90^\circ -72^\circ=18^\circ`

5. The complimentary angle of
`5^\circ` is:

`90^\circ -5^\circ=85^\circ`

Therefore, the complimentary angles of
`54^\circ, 63^\circ, 87^\circ, 45^\circ, 72^\circ, 5^\circ` are
`36^\circ, 27^\circ, 3^\circ, 45^\circ, 18^\circ, 85^\circ` respectively.