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Example 9

Example 7. In the given figure,

Find the value of x and y.

Solution:- Here ABCD is a cyclic quadrilateral

Or, 2x + 40 + 4y - 40 = 1800

Or, 2x + 4y = 1800

Or, x + 2y = 900----------------------------(i)

Also,

Or, x + 100 + 5y + 50 = 1800

Or, x + 5y = 1800 - 150

Or, x + 5y = 1650 --------------------(ii)

Subtracting (i) from (ii) we get

(x + 5y) - (x + 2y) = 1650 - 900

3y = 750

from (i) x + 2 X 250 = 900

x = 900 - 500 = 400

 


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