find the complement and supplement of the following angles. 6° 14° 71° 31° 56° 24° 82° 75° 22° 47° c: c: c: c: c: c: c: c: c: c: s: s: s: s: s: s: s: s: s: s:

Question

Accepted Answer

# Explanation:
## Step1: Recall complement formula
The complement of an angle $	heta$ is $90^{\circ}-	heta$.
## Step2: Recall supplement formula
The supplement of an angle $	heta$ is $180^{\circ}-	heta$.
## Step3: Calculate complements and supplements for each angle
For $	heta = 6^{\circ}$:
 - Complement: $90^{\circ}-6^{\circ}=84^{\circ}$
 - Supplement: $180^{\circ}-6^{\circ}=174^{\circ}$
For $	heta = 14^{\circ}$:
 - Complement: $90^{\circ}-14^{\circ}=76^{\circ}$
 - Supplement: $180^{\circ}-14^{\circ}=166^{\circ}$
For $	heta = 71^{\circ}$:
 - Complement: $90^{\circ}-71^{\circ}=19^{\circ}$
 - Supplement: $180^{\circ}-71^{\circ}=109^{\circ}$
For $	heta = 31^{\circ}$:
 - Complement: $90^{\circ}-31^{\circ}=59^{\circ}$
 - Supplement: $180^{\circ}-31^{\circ}=149^{\circ}$
For $	heta = 56^{\circ}$:
 - Complement: $90^{\circ}-56^{\circ}=34^{\circ}$
 - Supplement: $180^{\circ}-56^{\circ}=124^{\circ}$
For $	heta = 24^{\circ}$:
 - Complement: $90^{\circ}-24^{\circ}=66^{\circ}$
 - Supplement: $180^{\circ}-24^{\circ}=156^{\circ}$
For $	heta = 82^{\circ}$:
 - Complement: $90^{\circ}-82^{\circ}=8^{\circ}$
 - Supplement: $180^{\circ}-82^{\circ}=98^{\circ}$
For $	heta = 75^{\circ}$:
 - Complement: $90^{\circ}-75^{\circ}=15^{\circ}$
 - Supplement: $180^{\circ}-75^{\circ}=105^{\circ}$
For $	heta = 22^{\circ}$:
 - Complement: $90^{\circ}-22^{\circ}=68^{\circ}$
 - Supplement: $180^{\circ}-22^{\circ}=158^{\circ}$
For $	heta = 47^{\circ}$:
 - Complement: $90^{\circ}-47^{\circ}=43^{\circ}$
 - Supplement: $180^{\circ}-47^{\circ}=133^{\circ}$

# Answer:
| Angle | Complement (C) | Supplement (S) |
| ---- | ---- | ---- |
| $6^{\circ}$ | $84^{\circ}$ | $174^{\circ}$ |
| $14^{\circ}$ | $76^{\circ}$ | $166^{\circ}$ |
| $71^{\circ}$ | $19^{\circ}$ | $109^{\circ}$ |
| $31^{\circ}$ | $59^{\circ}$ | $149^{\circ}$ |
| $56^{\circ}$ | $34^{\circ}$ | $124^{\circ}$ |
| $24^{\circ}$ | $66^{\circ}$ | $156^{\circ}$ |
| $82^{\circ}$ | $8^{\circ}$ | $98^{\circ}$ |
| $75^{\circ}$ | $15^{\circ}$ | $105^{\circ}$ |
| $22^{\circ}$ | $68^{\circ}$ | $158^{\circ}$ |
| $47^{\circ}$ | $43^{\circ}$ | $133^{\circ}$ |

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QUESTION IMAGE

Question

Explanation:

Step1: Recall complement formula

Step2: Recall supplement formula

Step3: Calculate complements and supplements for each angle

Answer:

Angle	Complement (C)	Supplement (S)
$14^{\circ}$	$76^{\circ}$	$166^{\circ}$
$71^{\circ}$	$19^{\circ}$	$109^{\circ}$
$31^{\circ}$	$59^{\circ}$	$149^{\circ}$
$56^{\circ}$	$34^{\circ}$	$124^{\circ}$
$24^{\circ}$	$66^{\circ}$	$156^{\circ}$
$82^{\circ}$	$8^{\circ}$	$98^{\circ}$
$75^{\circ}$	$15^{\circ}$	$105^{\circ}$
$22^{\circ}$	$68^{\circ}$	$158^{\circ}$
$47^{\circ}$	$43^{\circ}$	$133^{\circ}$