Question

In the adjoining figure,
AB and AC are equal chords of a circle.
Line m is parallel to the tangent at
point A and intersects the chords at
point D and point E respectively.
Prove that AD = AE​

Answer 1

Step-by-step explanation:

angle ABC =angle ACB ( AB=AC)

as line m is parallel to PAQ

angle PAD = angle ADE

angle QAE = angle AED

and BC is parallel to line m

angle B = angle ADE =angle PAD

angle C= angle AED =angle EAQ

Therefore, angle ADE = angle AED

Therefore, AD =AE

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