Question

in the given figure ABCD is a cyclic quadrilateral find the value of x and y​

Answer 1

Answer:

x= 19.8°

y= 22°

Explanation:

Angle bad + angle abc= 180° (sun of adjacent angles of a cyclic quadrilateral)

2y+4+y+10= 180°

3y+14=180°

3y=180-14

3y=66

y=66/3

y=22°

Now,

Angle BCD + angle ADC= 180° (sun of adjacent angles of a cyclic quadrilateral)

4x-4+5x+5= 180°

9x+1= 180°

9x= 179

x= 179/9

x= 19.8°

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