Question

In the figure , o is the centre of the circle and Angle AOB=110 degree , find the value of x,y and z

Answer 1

x = 55°  ,  y = 35° ,  z = 125°

Step-by-step explanation:

x = (1/2)∠AOB  ( angle subtended by cgord AB at center & arc)

=>  x = (1/2)110°

=> x = 55°

BD is Diameter

=> x + y = 90°

=> 55° + y = 90°

=> y = 35°

x +  z = 180°   ( sum of opposite angles of cycilc quadrilateral)

=> 55° + z = 180°

=> z = 125°

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Answer 2

Answer:

x = (1/2)∠AOB  ( angle subtended by cgord AB at center & arc)

=>  x = (1/2)110°

=> x = 55°

BD is Diameter

=> x + y = 90°

=> 55° + y = 90°

=> y = 35°

x +  z = 180°   ( sum of opposite angles of cycilc quadrilateral)

=> 55° + z = 180°

=> z = 125°