1.

The sum of an angle and half of its complementary angle is `75^(@)`. Find the angle .A. `40^(@)`B. `50^(@)`C. `60^(@)`D. `80^(@)`

Answer» Correct Answer - C
Let the required angle be x.
`:.` Complement of x is `90^(@)-x`
`implies x+((90^(@)-x))/(2)=75^(@)`
`implies 2x+90^(@)-x=150^(@)`
`implies x=60^(@)`
Hence, the correct option is (c ).


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