Question

in a cyclic quadrilateral angle a is equal to 2 X + 4 angle b is equal to X + 10 angle C is equal to 4 Y - 4 and d is equal to 5 Y+5 ..find x y​

Answer 1

Answer:

Step-by-step explanation:

2x+4+4y-4=180. (Opposite angles of a cycling quadrilateral are supplementary)

2x+4y=180

x+2y==90. ———1

X+10+5y+5=180

X+5y+15=180

x+5y=180-15

x+5y=165. ——2

Subtracting 1 and 2

x+5y=165

x+2y=90

——————-

+3y=75

——————-

3y=75

y=75/3

y=25

x+2y=90

x+2*25=90

x+50=90

x=90-50

x=40

Therefore,x=40

y=25