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4. Find the complement of each of the fol- lowing angles: 72°, 35°, 48°24', 65°48', 84°56'.

User Sun Lee
by
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1 Answer

6 votes

The compliment of 72° = 18°

The compliment of 35° = 55°

The compliment of 48.4° = 41.6°

The compliment of 65.8° = 24.2°

The compliment of 84.93° = 5.07°

Step-by-step explanation:

The given angles: 72°, 35°, 48°24', 65°48', 84°56'.​

we need to do some convertion:

48°24':

24' = 24 minutes

we divide by 60 to convert from minute to degree

24' = 24/60 = 0.4°

48°24' = 48° + 0.4° = 48.4°

65°48':

48' = 48 minutes = 48/60 = 0.8°

65°48' = 65° + 0.8° = 65.8°

84°56':

56' = 56/60 = 0.93°

84°56' = 84° + 0.93° = 84.93°

The angles are: 72°, 35°, 48.4°, 65.8°, 84.93°

To get the compliment of the angles, we will subtract each of them from 90°

Compliment angles are equal to 90°

The compliment of 72° = 90-72 = 18°

The compliment of 35° = 90 -35 = 55°

The compliment of 48.4° = 90 - 48.4° = 41.6°

The compliment of 65.8° = 90 - 65.8° = 24.2°

The compliment of 84.93° = 90 - 84.93° = 5.07°

User Vlas Sokolov
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3.3k points