Advertisements
Advertisements
प्रश्न
All the angles of a quadrilateral are equal. What special name is given to this quadrilateral?
Advertisements
उत्तर
We know that, sum of all angles in a quadrilateral is 360°.
If ABCD is a quadrilateral,
∠A + ∠B + ∠C + ∠D = 360° ...(i)
But it is given all angles are equal.
∠A = ∠B = ∠C = ∠D
From equation ...(i)
∠A + ∠A + ∠A + ∠A = 360°
⇒ 4∠A = 360°
∠A = 90°
So, all angles of a quadrilateral are 90°.
Hence, given quadrilateral is a rectangle.
APPEARS IN
संबंधित प्रश्न
Find the angle measure x in the given Figure
Find x in the following figure:
In a quadrilateral ABCD, CO and DO are the bisectors of `∠`C and ∠D respectively. Prove that
`∠`COD = `1/2` (`∠`A+ `∠`B).
If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram .
The diagonals of a rectangle ABCD meet at O, If ∠BOC = 44°, find ∠OAD.
The two diagonals are equal 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 all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.
The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is ______.
Sum of all the angles of a quadrilateral is 180°.
