Question

X =

a) 110
b) 145
c) 220

Answer 1

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


`70 = (1)/(2) ((360 - x) - x)`


`70 = (1)/(2) (360 - 2x)`


`70 = 180 - x`


`x = 180 - 70`


`x = 110 \textdegree`

Answer 2

The correct option is a. The value of x is 110.

Explanation:

From the given figure it is give

Radius and Tangents are perpendicular at the point of tangency.

It means

`\angle OAP=\angle OBP=90^(\circ)`

AOBP is a quadrilateral. The sum of interior angles of a quadrilateral is 360.

`\angle OAP+\angle AOB+\angle OBP+\angle APB=360^(\circ)`

`90^(\circ)+x+90^(\circ)+70^(\circ)=360^(\circ)`

`x+250^(\circ)=360^(\circ)`

`x=110^(\circ)`

The value of x is 110. Therefore the correct option is a.