Question

X =

a) 90
b) 135
c) 270

Answer 1

Answer: 270

Explanation:

Answer 2

If the outer arc is x, the inner arc is 360 - x


`90 = (1)/(2)( x - (360 - x) )`


`90 = (1)/(2)( x - 360 + x )`


`90 = (1)/(2)( 2x - 360)`


`180 = 2x - 360`


`2x = 360 + 180`


`2x = 540`


`x = 270`