Question

In the given figure , ABCD is a cyclic quadrilateral . BA is produced to E and DC//AB . If y:x is equal to 4:5 , then value of z is

Answer 1

Answer:

45°

Step-by-step explanation:

x + y = 180

4x + 5y = 180

x = 20

y = 20*4

y = 80

And from the therom-

In a cyclic Quadriteral any interior angle is equal to opposite exterior angle

hence-

y = 55 + z

80 = 55 + z

80-55 = z

z = 25°