Question

If x = 150°, find whether points A, B, C and D are
concyclic​

Answer 1

A,B,C,D are concyclic.

Step-by-step explanation:

Given,x = 150°

Construction:

Join AD. BC is extended to E.

∠EDC + ∠BDC is a straight line,i.e sum is 180°

∠EDC + ∠BDC = 180° [By linear Pair]

150° + ∠BDC = 180°

∠BDC = 180°-150°

          = 30° = ∠BAC

If for the same segment BC ,∠BAC and ∠BDC are equal,then the points A,B,C,D are concyclic.

Hence Proved.

Answer 2

ANSWER IS IN THE ATTACHMENT

HOPE IT HELPS :)

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