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What is the value of an angle which is $25 °$ less than its supplement?

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77 °

70 °

77.5 °

80 °

answer is C.

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Detailed Solution

We have been given an angle which is

25 °

less than its supplement.
Supplementary angles are a pair of angles whose sum is equal to

180 °

.
Let the required angle be x and supplement of

.
According to given condition,

x = 180 ° − x − 25 ° x + x = 180 ° − 25 ° 2 x = 155 ° x = (77.5) °

Therefore, the value of an angle which is

25 °

less than its supplement, is

77.5 °

.
Hence, option (3) is correct.

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