The angles of a quadilateral are (4x)°,5(x+2)°,(7x-20)° and 6(x+3)° Find The value of x and each angle of the quadrilateral.
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Angles of quadrilateral are, (4x)°, 5(x + 2)°, (7x - 20)° and 6(x + 3)°. 4x + 5(x + 2) + (7x - 20) + 6(x + 3) = 360° 4x+5x+10+7x-20+6x+18 = 360° 22x + 8 = 360° 22x = 360°- 8° 22x = 352° x = 16° Hence angles are, (4x)° = (4 x 16)° = 64°, 5(x + 2)° = 5(16 + 2)° = 90°, (7x - 20)° = (7 x 16 - 20)° = 92° 6(x + 3)° = 6(16+3) = 114°
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