Question

Pic added
Solve for x.
L
20x + 10
850
K
J
3
8

Answer 1

Option (3)

Explanation:

By applying the property of inscribed angle and intercepted arc in the given circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

`m(\angle LKJ)=(1)/(2)m(\text{arc LJ})`

`85=(1)/(2)(20x+10)`

`170=20x+10`

`20x=160`

`x=8`

Therefore, Option (3) is the correct option.