Question

In the figure below, m
JSR = 57° and m
SLN = 79°.

An irregular octagon has its sides named JKLMNPQR, has a crossed quadrilateral inside. The intersection of the crossed quadrilateral is called S, shares a common points R and J.
Note: picture not drawn to scale

What is m
LNS?
 A.
66°
 B.
44°
 C.
136°
 D.
22°

Answer 1

m∠JSR=57°=m∠NSL (opposite angles at an intersection),

m∠SLN=79°, so m∠LNS+m∠NSL+m∠SLN=180° (angles in triangle LNS),

m∠LNS=180-57-79=44° (answer B).

I've provided a picture below (it may not be the same as your image).

(not to scale)