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Question 144
In rectangle READ, find EAR,RAD and ROD.

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Solution

Given, a rectangle READ, in which ROE=60.
ROD=18060=120. [linear pair]
In ΔEOR,
ROE+DER+ERA=180 [Angle sum property]
60+ERA+ERA=180 [OE=OR, hence DER=ERA]
2ERA=18060
ERA=1202=60
RAD=60 [Alternate angles]

In rectangle READ, EAD=90EAR+RAD=90EAR=90RAD=9060=30

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