Question

in a cyclic quadrilatel ABCD, angle (A=x+2y+7)°, angle B=(2x+y+7)°, angle C=(4x+y+3)°and angle D=(4x+8)°. find for angle​

Answer 1

Step-by-step explanation:

Given

A = x+2y+7

B = 2x+y+7

C = 4x+y+3

D = 4x+8

Formula used

sum of angles of a quadilateral = 360

Solution

x+2y+7+2x+y+7+4x+y+3+4x+8 = 360

11x+4y+25 = 360

11x+4y = 360-25 = 335

11x+4y = 335

Also,

B+D = 180

6x+y+15 = 180

6x+y = 180-15 = 165

6x+y = 165

By solving these two equations you will get the values of x and y