1.

The angles of a quadrilateral are in the ratio 3:4:5:6. Which of the following can be conclude ?A. Exactly two angles are acute.B. Two pairs of angles are supplementary.C. Either (a) or (b)D. Neither (a) nor (b)

Answer» Correct Answer - C
Let the angles be (3x), (4x) , (5x) and (6x)
`3x+4x+5x+6x=360^(@)`
`x=20^(@)`
`3x=60^(@), 4x=80^(@),5x=100^(@), and 6x=120^(@)`
3x and 4x are acute.
And `3x+6x=4x+5x=180^(@)`
Option (a) and (b) follow.
Hence, the correct option is ( c).


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