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 + y + z + w
The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.
If the angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, then find the measure of the smallest angle.
The two diagonals are equal in a
If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
The diagonals AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD = 50°, then ∠DPC =
Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?
The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60º. Find the angles of the parallelogram.
In the following figure, P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. Prove that AD = 2CD.
