Advertisements
Advertisements
प्रश्न
Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.
Advertisements
उत्तर
All the four angles of a quadrilateral cannot be obtuse angles.
Justification:
We know that,
Sum of all angles of a quadrilateral = 360°
So, at least one angle should be acute angle.
Hence, all the four angles of a quadrilateral cannot be obtuse angles.
APPEARS IN
संबंधित प्रश्न
In a quadrilateral ABCD, CO and DO are the bisectors of `∠`C and ∠D respectively. Prove that
`∠`COD = `1/2` (`∠`A+ `∠`B).
Find the measure of all the angles of a parallelogram, if one angle is 24° less than twice 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.
The diagonals of a rectangle ABCD meet at O, If ∠BOC = 44°, find ∠OAD.
In the given figure, PQRS is a rhombus in which the diagonal PR is produced to T. If ∠SRT = 152°, find x, y and z.
If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is
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
All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?
Can all the angles of a quadrilateral be acute angles? Give reason for your answer.
In a quadrilateral PQRS, ∠P = 50°, ∠Q = 50°, ∠R = 60°. Find ∠S. Is this quadrilateral convex or concave?
