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प्रश्न
All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?
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उत्तर
\[\text{ Let the angle be x }. \]
\[\text{ All the angles are equal .} \]
\[ \therefore x + x + x + x = 360°\]
\[4x = 360°\]
\[x = 90°\]
\[\text{ So, each angle is 90°and quadrilateral is a parallelogram . It is a rectangle } .\]
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संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknown x, y, z.

Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.

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