Is it possible to construct a quadrilateral PQRS in which PQ=4 cm, QR=5 cm, Q=120°, P=105°, R=135°? If not, why ?
Answers
Answer:
No, it's not possible at all to construct a quadrilateral in which PQ = 4 cm, QR = 5 cm, Angle A = 120°, Angle P = 105° and Angle R = 135°.
Step-by-step explanation:
It's quite easy to provide a reason but for better understanding let's calculate few things.
Sum of all the angles of a quadrilateral = 360°
Sum of the given three angles of the quadrilateral PQRS = 120° + 105° + 135° = 360°
Now, fourth angle of the given quadrilateral = 360° - 360° = 0°
Since, a quadrilateral is not possible where one angle is 0°, it is not possible to construct such a quadrilateral.
Answer:
It is not possible.
Step-by-step explanation:
The sum of measures of all angles of quadrilateral PQRS is 360°.
But the sum of three angles of quadrilateral is 360°
and fourth angle is 0°.
Fourth angle is 0° is not possible because 0° angle means angle not exist in quadrilateral PQRS.
Therefore,PQRS is not said that
quadrilateral.
Therefore,the quadrilateral PQRS is not possible.