Question
The angles of a quadrilateral are in the ratio 1: 2 : 3 : 4. The angles of the quadrilateral are respectively ____.
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=108∘and4x=144∘
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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=108∘and4x=144∘
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