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What is the value of angle if seven times its complement is $10 °$ less than three times its supplement?

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1100

1200

1000

1050

answer is C.

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Detailed Solution

We have been given an angle whose seven times its complement is

10 °

less than three times its supplement.
Complementary angles are a pair of angles whose total is equal to

90 °

and supplementary angles are a pair of angles whose total is equal to

180 °

.
Let the angle to be x and its complement as

900 − x

and supplement as

1800 − x

.
According to given condition,

7 (90 ° - x) = 3 (180 ° - x) - 10 °

Therefore, the value of the angle is

1000

.
Hence, option (3) is correct.

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