Advertisements
Advertisements
प्रश्न
In a quadrilateral PQRS, ∠P = 50°, ∠Q = 50°, ∠R = 60°. Find ∠S. Is this quadrilateral convex or concave?
उत्तर
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°
Since, one interior angle of the given quadrilateral is obtuse, therefore the quadrilateral is concave.
APPEARS IN
संबंधित प्रश्न
Find x + y + z + w
In Fig. below, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute
∠CDB and ∠ADB.
If the angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, then find the measure of the smallest angle.
In a quadrilateral ABCD, bisectors of angles A and B intersect at O such that ∠AOB = 75°, then write the value of ∠C + ∠D.
Diagonals necessarily bisect opposite angles in a
In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°. The angles of the triangle formed by joining the mid-points of the sides of this triangle are
Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?
Can all the angles of a quadrilateral be right angles? Give reason for your answer.
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is ______.
Which of the following can be four interior angles of a quadrilateral?
