Question

. In the given figure, ABC is an isosceles triangle with AB = AC. If ZA = 50°, find the values of x and y.​

Answer 1

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△ABC is an isosceles triangle.

∴∠B=∠C=50 o

∠BAC=180−50−50=80 o

∠BAC=∠BDC=80 o

(angles on circle by the same chord on the same segment are equal)

∠BEC is supplementary angle of ∠BAC

∴∠BEC=180−∠BAC

=180−80=100 o

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