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Question
The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____.
Options:
A .  144∘, 108∘, 60∘, 48∘
B .  36∘, 72∘, 108∘, 144∘​
C .  30∘, 60∘, 90∘, 120∘​
D .  10∘, 20∘, 30∘, 40∘​
Answer: Option B
:
B
Let the smallest angle of quadrilateral be x.
Then, the angles of the quadrilateral will be x, 2x, 3x and4x.
Sum of the angles of a quadrilateral is 360.
360=x+2x+3x+4x
10x=360
x=36,2x=72,3x=108and4x=144

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