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प्रश्न
If opposite angles of a quadrilateral are equal, it must be a parallelogram.
विकल्प
True
False
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उत्तर
This statement is True.
Explanation:

⇒ Let ABCD be a parallelogram, with A = α and B = β.
We have to prove that C = α and D = β.
⇒ α + β = 180° (co-interior angles, AD || BC),
⇒ ∠C = α (co-interior angles, AB || DC)
⇒ ∠D = β (co-interior angles, AB || DC).
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संबंधित प्रश्न
Consider the given parallelograms. Find the values of the unknowns x, y, z.

In parallelogram PQRS, ∠Q = (4x – 5)° and ∠S = (3x + 10)°. Calculate: ∠Q and ∠R.
In the following diagram, the bisectors of interior angles of the parallelogram PQRS enclose a quadrilateral ABCD.

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(i) ∠PSB + ∠SPB = 90°
(ii) ∠PBS = 90°
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(vi) ABCD is a rectangle
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Use the information given in the alongside diagram to find the value of x, y, and z.

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