Question

Find the values of x and y in the figure given below.

Answer 1

since it is cyclic quadrilateral opposite sides are 180 degree therefore x = 180 - 110 = 70 degree

x = 70 degree and y= 180 - 85 = 95 degree

Hope it helps you!

Answer 2

The value of x is 70 and the value of y is 95.

Explanation:

In the given figure , we have a cyclic quadrilateral.

In a cyclic quadrilateral , the sum of the opposite angles is 180°.

Consider the given figure , we have

x°+110° =180°                                      

⇒ x= 180°-110° =70°                              

⇒ x= 70

Similarly ,  y+85°=180°

⇒ y= 180°-85° = 95°

⇒  y= 95

Hence, the value of x is 70 and the value of y is 95.

# Learn more :

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Prove that the quadrilateral formed by angle bisectors of a cyclic quadrilateral is also cyclic