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 the angle measure x in the given Figure
Find x in the following figures.
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angles of the quadrilateral
In a quadrilateral ABCD, CO and DO are the bisectors of `∠`C and ∠D respectively. Prove that
`∠`COD = `1/2` (`∠`A+ `∠`B).
The two diagonals are equal in a
If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?
In a rhombus ABCD, if ∠ACB = 40°, then ∠ADB =
Can all the angles of a quadrilateral be right angles? Give reason for your answer.
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.
