ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Find value of
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Step by Step Explanation:
- ∠ABC = 180° - ∠AEC [ Opposite angels of cyclic quadrilateral are supplementary.]
- Since ∠ABC = ∠ADE [ Opposite angles of parallelogram are equal.]
∠ADE = 180° - ∠AEC
- ∠ADE = ∠AED [ 180° - ∠AEC = ∠AED]
- Since ADE is isosceles with angles ∠ADE = ∠AED, AD = AE, therefore = 1.