CYCLIC QUADRILATERAL WORKSHEET

Problem 1 :

Find the value of x.

Solution

Problem 2 :

Solution

Problem 3 :

Problem 4 :

Solution

Problem 5 :

Find ∠ABC, ∠AEC, ∠AGC, ∠ADC

Solution

Problem 6 :

PQRS is a cyclic quadrilateral, and the side PS is extended to the point A. If ∠PQR = 80°, find ∠ASR

Solution

Problem 7 :

ABCD is a cyclic quadrilateral whose diagonals intersect at O. If ∠ACB = 50° and ∠ABC = 110°, find ∠BDC

Solution

Problem 8 :

In the given figure, ABCD is a cyclic quadrilateral whose diagonal intersect at P such that ∠DBC = 60^o and ∠BAC = 40^o. Find ∠BCD

Solution