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# Find angles of a polygon inscribed in a circle?

Find all angles of ABCD

AD and BC are parallel.

Angle DCB is 72

### 2 Answers

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- Raj KLv 71 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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