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011.(i) The four angles of a quadrilateral are in the ratio 2:3:4:6, Find all the angles |
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Answer» The FOUR angles of a quadrilateral are in the RATIO 2:3:4:6, Find all the angles ANSWER :-GIVEN Ratio of angles :-2:3:4:6Let each ANGLE of the quadrilateral be 2x,3x,4x and 6x.Sum of all the angles of a quadrilateral =360∘ ∴2x+3x+4x+6x=360∘ ⇒15x=360∘ ⇒x= 15/360 ⇒x=24∘ ∴ required angles are 2×24∘ ,3×24∘ ,4×24∘ ,6×24∘ =48∘ ,72∘,96∘ ,144∘ |
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