Question

find the complementary and supplementary angle of each of the following : 1. 26° 2. 62° 3. 9° 4. 51° 5. 37°​

Answer 1

Step-by-step explanation:

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

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★ 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