Question

In the figure ,o is the centre of a circle passing through points A, B, C and D angle ADC = 120°. Find the value of x. ​

Answer 1

Answer:

Step-by-step explanation:

angle ADC = 120   (Given)

So, angle ABC = 180 - 120    

                        = 60

 (ABCD is a cyclic quadrilateral, so sum of opposite angles is supplementry)  

Angle ACB = 90   ( Angle in a semi circle is 90 )

ABC + ACB + CAB = 180 ( angle sum property )

60 + 90 + CAB = 180

150 + CAB = 180

CAB = 180 - 150

CAB = 30

CAB = x = 30

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