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80° answer of first question and 60° is the answer of second question
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Q) If the supplementary of an angle is 4 times of it's complement, the angle is ?
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Answer :-
a) 60°
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Explanation :-
Let the required angle be = x
We know that,
- Supplementary angles are two angles whose sum is 180.
- Complementary angles are two angles whose sum is 90.
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Therefore, According to question,
- Supplement = 180 - x
- Complement = 90 - x
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It is given that supplementary of an angle is 4 times of it's complement,
So,
= 180 - x = 4( 90 - x )
= 180 - x = 360 – 4x
= - x - 4x = 360 - 180
3x = 180
x = 180/3
x = 60
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