Question

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

Answer 1

Answer:

Option (3)

Step-by-step 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"

$m(\angle LKJ)=\frac{1}{2}m(\text{arc LJ})$

$85=\frac{1}{2}(20x+10)$

$170=20x+10$

$20x=160$

$x=8$

Therefore, Option (3) is the correct option.