Find angles of a polygon inscribed in a circle?

Find all angles of ABCD

AD and BC are parallel.

Angle DCB is 72

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2 Answers

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  • 1 month ago

    ∠DCB = 72°, ∠CBA = 72°, ∠BAD = 108°, ∠ADC = 108°

  • Raj K
    Lv 7
    1 month ago

    Since AD//BC

    Hence angle ADC+angle DCB=180°

    Since  angle DCB=72 ° Hence angle ADC=180°-72°=108°

    Also  angle DAB+angle DCB=180° (Cyclic quadrilateral)

     Hence angle DAB=180°-72°=108°

    Also angle ADC+angle ABC=180° (Cyclic quadrilateral)

     Hence angle ABC=180°-72°=108°

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