1.

One angle of a parallelogram is `30^(@)` more than twice its adjacent angles. Find the measure of its adjacent angle.A. `50^(@)`B. `60^(@)`C. `70^(@)`D. `80^(@)`

Answer» Correct Answer - A
Let the adjacent angle be `x^(@)`.
`:.` Given angle is `(2x^(@)+30^(@))`
We know that the sum of the adjacent angles of a prallelogram is `180^(@)`.
`implies (x^(@)+2x^(@)+30^(@))=180^(@)`
`(3x^(@))=180^(@)-30^(@)`
`x^(@)=(150^(@))/(3)`
`:. x^(@)=50^(@)`
Hence, the correct option is (a) .


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