If the measures of the angles of a quadrilateral are 4X, 7X, 9X and 10X then the sum of largest and smallest angle is
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angle sum of quadrilateral = 360°
4x+7x+9x+10x = 360°
30x =360°
x =360°/30
× = 12°
4x = 4 × 12 = 48
7 x = 7×12 = 84
9x = 9 × 12 = 108
10x = 10 × 12 = 120
largest angle is 120 and smallest angle is 48
the sum of largest angle and smallest angle
=> 120+48
=> 168°
therefore answer is 168°
4x+7x+9x+10x = 360°
30x =360°
x =360°/30
× = 12°
4x = 4 × 12 = 48
7 x = 7×12 = 84
9x = 9 × 12 = 108
10x = 10 × 12 = 120
largest angle is 120 and smallest angle is 48
the sum of largest angle and smallest angle
=> 120+48
=> 168°
therefore answer is 168°
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