the angles of a quadrilateral cannot be in the ratio 1is to 2 is to 3is to 6 why? give reasons
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Step-by-step explanation:
the ratio of angles of quadrilateral are given as
1:2:3:6
sum of all angles of quadrilateral = 360°
1x + 2x + 3x + 6x = 360
12x = 360
x = 360/12
x = 30
the angles will be
1x = 1 × 30 = 30°
2x = 2 × 30 = 60°
3x = 3 × 30 = 90°
6x = 6 × 30 = 180°
as we get the fourth angle as 180° which is a straight line.
hence cannot be formed a quadrilateral
we need four sides to form a quadrilateral
hope you get your answer
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