Question
In a quadrilateral PQRS, ∠P=50∘,∠Q=50∘,∠R=60∘. Find ∠S. Is this quadrilateral convex or concave?
In a quadrilateral PQRS, ∠P=50∘,∠Q=50∘,∠R=60∘. Find ∠S. Is this quadrilateral convex or concave?
Answer:
:
Given a quadrilateral PQRS, where
∠P=50∘,∠Q=50∘ and ∠R=60∘
Now, by the angle sum property of a quadrilateral, we have
∠P+∠Q+∠R+∠S=360∘⇒50∘+50∘+60∘+∠S=360∘⇒∠S=360∘−160∘⇒∠S=200∘
One interior angle of the given quadrilateral is greater than 180∘, therefore the quadrilateral is concave.
Was this answer helpful ?
:
Given a quadrilateral PQRS, where
∠P=50∘,∠Q=50∘ and ∠R=60∘
Now, by the angle sum property of a quadrilateral, we have
∠P+∠Q+∠R+∠S=360∘⇒50∘+50∘+60∘+∠S=360∘⇒∠S=360∘−160∘⇒∠S=200∘
One interior angle of the given quadrilateral is greater than 180∘, therefore the quadrilateral is concave.
Was this answer helpful ?
More Questions on This Topic :
Question 9.
A nonagon has ___ sides.....
Question 10.
Sum of the angles of a hexagon is ___.....
Latest Videos
Latest Test Papers
Submit Solution