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Question 197
Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, O=120,R=105 and A=135? If not, why?
 


Solution

No,
Given measures are
OA = 5 cm, O=120,R=105 and A=135
Here, we see that, O+R+A=120+105+135=360
i.e. the sum of three angles of a quadrilateal is 360.
This is impossible, as the total sum of four angles is 360 in a quadrilateral.
Hence, this quadrilateral cannot be constructed.

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