Mathematics
In the figure (1) given below, ∠AED = ∠ABC. Find the values of x and y.
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Answer
Considering △ABC and △ADE,
∠AED = ∠ABC (Given)
∠A = ∠A (Common angles)
Hence by AA axiom △ABC ~ △ADE.
Since, triangles are similar so ratio of their corresponding sides will be equal.
Similarly,
Hence, the value of x = 5 and y = 5.
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