Question

AB is diameter of the circle in following figure. The value is..​

Answer 1

hi there!!!

Solution:

here,

the measure of a complete circle=360°

now,

5x+2x+x+y= 360

8x+y= 360 ...(1)

also,

x+2x+y= 180°......(semicircle=180°)

3x+y=180....(2)

now,

subtracting (2) from (1),

8x+y=360

- 3x-y=-180

5x = 180

x= 180/5=36

hence,

x= 36°

therefore,

2x=2×36=72°

5x=5×36=180°

also

substituting the value of x in (2),

3x+y= 180

3×36+y=180

108+y=180

y=180-108=72°

hope this helps!! ☺❤✌