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Question
If the adjacent angles of a parallelogram are equal, then the parallelogram is a ______.
Options
rectangle
trapezium
rhombus
any of the three
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Solution
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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A rectangular MORE is shown below:

Answer the following questions by giving appropriate reason.
- Is RE = OM?
- Is ∠MYO = ∠RXE?
- Is ∠MOY = ∠REX?
- Is ΔMYO ≅ ΔRXE?
- Is MY = RX?
