Given a circle and a quadrilateral ABCD inscribed in it as shown.If ∠B =125°,then ∠E is equal to:
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Step-by-step explanation:
opposite angles of a cyclic quadrilateral are supplementary .
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Answer:
55 degrees
Step-by-step explanation:
Along with ABCD , quadrilateral ABCE also forms a cyclic quadrilateral ,as all it's vertices A ,B , C and E lie on the circle .
So ,opposite angles of a quadrilateral are supplementary .
Thus, angle B + angle E = 180 degrees
angle E + 125 = 180 degrees
angle E = 180 - 125
Therefore , angle E = 55 degrees
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