Question

in the given figure ABCD is a quadrilateral is cyclic quadrilateral in which angle a equal to 2 x + 4 degree angle b is equal to x + 10 degree angle c is equal to 4 y - 4 degree and Angle d is equal to 5 y + 5 degree find the value of x and y

Answer 1

Step-by-step explanation:

a= 2x+4

b=x+10

c=4y-4

d=5y+5

in cyclic quadrilateral a+c=180

2x+4+4y-4=180

x+2y=90------1

x+10+5y+5=180

x+5y=165--------2

from 1 and 2

x=25degrees,. y=27degrees

Answer 2

Answer:

x-y = 15

Step-by-step explanation:

A+C = 180

B+D = 180

then,

X = 40, Y = 25

X - Y = 15