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## Answers

then angleA = angleB

angleC = angleD

By ASP of quadrilateral

angleA + angleB + angleC + angleD = 360°

from above

angleA + angleA + angleC + angleC = 360°

2(angleA + angleC)=360°

angleA + angleC = 180°

similarly,

angleB + angleD = 180°

since sum of opposite angle is 180° therefore it is a cyclic Quadrilateral