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Question

In the figure(not drawn to scale), ADF and BEF are triangles and EC = ED, find y.
723796_5d28b1c3ddaa40d2b13e3b26c117dd87.png

A
90o
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B
91o
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C
92o
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D
93o
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Solution

The correct option is A 90o
In a ΔCDE, we have

EC=ED

EDC=ECD=28 .....Angles opposite to equal sides are also equal

ACB=ECD=28 .....Vertically opposite angles In a ΔABC

We know y=ACB+62 .....Exterior angle property of triangle ABC

y=28+62

y=90


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