Question
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?
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?
Answer:
:
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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:
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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