Question

find the complementary and supplementary of angle 37°,62°,51°,9°​

Answer 1

Answer :

We know that,

• complimentary angles are those whose sum is 90°
• Supplementary angles are those whose sum is 180°

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★ Complimentary Angle

• 37°

Let the complimentary angle be x

= 37 + x = 90

= x = 90 - 37$\!$

= x = 53

• 62

Let the complimentary angle be x

= 62 + x = 90

= x = 90 - 62

= x = 28

• 51

Let the complimentary angle be x

= 51 + x = 90

= x = 90 - 51

= x = 39

• 9

Let the complimentary angle be x

= 9 + x = 90

= x = 90 - 9

= x = 81

_______________________________

★ Supplementary Angle

• 37°

Let the supplementary angle be x

= 37 + x = 180

= x = 180 - 37

= x = 143

•62

Let the supplementary angle be x

= 62 + x = 180

= x = 180 - 62

= x = 118

•51

Let the supplementary angle be x

= 51 + x = 180

= x = 180 - 51

= x = 129

• 9

Let the supplementary angle be x

= 9 + x = 180

= x = 180 - 9

= x = 171

____________________________

Answer 2

Complimentary Angle

• 37°

Let the complimentary angle be x

= 37 + x = 90

= x = 90 - 37

= x = 53

• 62

Let the complimentary angle be x

= 62 + x = 90

= x = 90 - 62

= x = 28

• 51

Let the complimentary angle be x

= 51 + x = 90

= x = 90 - 51

= x = 39

• 9

Let the complimentary angle be x

= 9 + x = 90

= x = 90 - 9

= x = 81

_______________________________

★ Supplementary Angle

• 37°

Let the supplementary angle be x

= 37 + x = 180

= x = 180 - 37

= x = 143

•62

Let the supplementary angle be x

= 62 + x = 180

= x = 180 - 62

= x = 118

•51

Let the supplementary angle be x

= 51 + x = 180

= x = 180 - 51

= x = 129

• 9

Let the supplementary angle be x

= 9 + x = 180

= x = 180 - 9

= x = 171