Planes A and B both intersect plane S. Vertical plane S intersects horizontal plane A and horizontal plane B. Plane S and plane A intersect at line f. Line f contains points N and K. Plane S and plane B intersect at line g. Line g contains points P and Q. Line d intersects plane A at point L.

Options (1), (3) and (4)

Step-by-step explanation:

Picture of the question is missing; find the picture in the attachment.

Planes A and B both intersect plane S.

Which statements are true based on the diagram? Check all that apply.

Points N and K are on plane A and plane S.

Points P and M are on plane B and plane S.

Point P is the intersection of line n and line g.

Points M, P, and Q are non collinear.

Line d intersects plane A at point N.

Option (1)

From the picture attached,

As the given planes A and S are intersecting each other at line 'f' which contains two points N and K, points N and K will lie on both the planes.

True

Option (2)

Point B is a common point of plane B and S but the point M lies on plane B only.

False.

Option (3)

Lines n and g intersect at a point P.

True.

Option (4).

Points M and P are collinear but point Q is not at the same line.

Therefore, points M, P and Q are non collinear.

True

Option (5).

Plane A intersects line d at point L.

Therefore, this option is False.

Options (1), (3) and (4) are true.

In the first triangle 80+20+p=180 (since sum of all angles of a triangle is 180)so p= 80also in second triangle 55+45+q=180 (since sum of all angles of a triangle is 180)so q=80so we can conclude that p=80 degrees q=80 degrees so p=q=80 degreeshence option b is correct

The answer would be the second choice : )