given
af is a tangent to a cirlce at b, o is the centre, ∠fbc=55°, ∠eab=30°
find ∠bcd, ∠bed, ∠bdc
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Answer:
refer to the given attachments....
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Answer:
/_BDC = /_FBC [Alternate segment theorem]
/_BDC = 55°
/_BDC = /_DBC [CB = CD, radii of same circle. Opposite angles of equal sides]
/_DBC = 55°
/_BCD + /_DBC + /_BDC = 180° [Angle Sum Property]
/_BCD = 180 - 55 - 55
/_BCD = 70°
/_BCD + /_BED = 180° [Opposite angles of a cyclic quadrilateral]
/_BED = 110°
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