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The angels of a quadrilateral are in the ration 1:2:3:4. Find the measure of each angle. |
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Answer» 36°,72°,108°,144° Let x be the common multiple. As per question, \(\angle A\) = x \(\angle B\) = 2x \(\angle C\) = 3x \(\angle D\) = 4x As we know that, Sum of all four angles of quadrilateral is 360°. \(\angle A\) + \(\angle B\) + \(\angle C\) + \(\angle D=360^\circ\) x + 2x + 3x + 4x = 360° 10x = 360° X = 360/10 = 36° \(\angle A\) = 1 X 36° = 36° \(\angle B\) = 2 X 36° = 72° \(\angle C\) = 3 X 36° = 108° \(\angle D\) = 4 X 36° = 144° So, Angles of quadrilateral are 36°, 72°, 108° and 144°. |
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