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प्रश्न
If the adjacent angles of a parallelogram are equal, then the parallelogram is a ______.
पर्याय
rectangle
trapezium
rhombus
any of the three
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उत्तर
If the adjacent angles of a parallelogram are equal, then the parallelogram is a rectangle.
Explanation:
In parallelogram the opposite angles are equal. When the adjacent angles become equal all the angles become equal and so it becomes a rectangle.
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संबंधित प्रश्न
Two adjacent angles of a parallelogram are (3x − 4)° and (3x + 10)°. Find the angles of the parallelogram.
In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC = 30°, ∠BDC = 10° and ∠CAB = 70°. Find:
∠DAB, ∠ADC, ∠BCD, ∠AOD, ∠DOC, ∠BOC, ∠AOB, ∠ACD, ∠CAB, ∠ADB, ∠ACB, ∠DBC and ∠DBA.
Which of the following statement is true for a rectangle?
Its diagonals are perpendicular and bisect each other.
Which of the following statement is true for a rectangle?
Its diagonals are equal and perpendicular, and bisect each other.
Which of the following statement are true for a square?
It has all its sides of equal length.
Find the length of the diagonal of a rectangle whose sides are 12 cm and 5 cm.
Prove that quadrilateral formed by the intersection of angle bisectors of all angles of a parallelogram is a rectangle.

For which of the following figures, diagonals are equal?
Rectangle is a regular quadrilateral.
Every trapezium is a rectangle.
