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In the given figure, ABC and AED are str...

In the given figure, ABC and AED are straight lines. AB is the diameter of the smaller circle ABE. Find the measure of `/_ACD`.

Text Solution

Verified by Experts

As `AB` is the diameter of the smaller circle,
`:. /_AEB = 90^@`
As, `AED` is a straight line,
`:. /_AEB+/_DEB = 180^@`
`=>/_DEB = 180^@ - 90^@ = 90^@`
Now, `BEDC` is a cyclic quadrilateral.
`:. /_DEB+/_BCD = 180^@`
`=>90^@+/_BCD = 180^@`
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