The angles of a quadrilateral are in the ratio 3:4:5:6. Find the measure of each angle. a) (60°, 80°, 100°, 120°) b) (40°, 50°, 60°, 70°) c) (40°, 60°, 80°, 100°) d) (20°, 40°, 60°, 80°)
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Let all the ratio be ' x
Therefore, 3 x , 4 x , 5 x , 6 x
Now, as we know the sum of all angles of a quadrilateral is = 180°
Therefore, 3x + 4x + 5x + 6x = 180°
18x = 180°
x = 180°/18
= 10°
3x = 3 x 10° = 30°
4x = 4 x 10° = 40°
5x = 5 x 10° = 50°
6x = 6 x 10° = 60°
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