in quadrilateral ABCD bc parallel ad. ac and bd bisects Angle A and angle D respectively, then show that ab=bc=cd
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Answer: Let the angles of the quadrilateral be 3x, 5x, 9x and 13x. ∵ Sum of all the angles of quadrilateral = 360° ∴ 3x + 5x + 9x + 13x = 360° ⇒ 30x = 360° ∴ 3x = 3 × 12° = 36° 5x = 5 × 12°= 60° 9x = 9 × 12° = 108° 13x = 13 × 12° = 156°
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bc parallel ad, not equal
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