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Posted by on Wednesday, January 9, 2013 at 8:04am.

ABCD is an inscribed quadrilateral. AD, BC are produced to meet at X. If angle B= 80 degrees and angle X= 30 degrees, find angle XCD.

  • GEOMETRY - , Wednesday, January 9, 2013 at 8:47am

    I will assume you mean "inscribed in a circle"
    In a cyclic quadrilateral, the opposite angles are supplementary, so angle D = 100°
    Also angle ADC is an exterior angle in triangle DCX, so
    angle DCX + angle CXD = angle ADC
    angle DCX + 30 = 100
    angle DCX = 70°

  • GEOMETRY - , Friday, January 11, 2013 at 1:39am

    30

  • GEOMETRY - , Monday, January 13, 2014 at 2:22am

    50 degrees

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