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The measure of angle A is 70.8°. Find the measures of the complement and supplement of angle A.

User SyncMaster
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2 Answers

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Answer:

19.2⁰, 109.2⁰

Explanation:

Angle = 70.8⁰

Complement = 90 - 70.8 = 19.2⁰

Supplement = 180 - 70.8 = 109.2⁰

User Punksta
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We are given the angle A is 70.8 degrees

Sum of an angle and its supplement angle is 180 degrees.

let us say A` is supplementary angle of A

so we have A+A`=180

70.8+A` =180

A`=180-70.8

So supplement angle is A`=109.2 degrees

Two angles are complementary if sum of the angle and its complement is 90 degrees.

let us say complementary angle of A is "a".

A+a =90

70.8+a=90

a=90-70.8 = 19.2

Complementary angle of A is 19.2 degrees.

User Lahiru
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