In the parallelogram below,
x = [ ? ]°
w
690
N
230

x = 46°

Step-by-step explanation:

The measure of the exterior angle at a vertex of a triangle equal to the sum of the measures of the two opposite interior angle to this vertex

In the given parallelogram

∵ Its two diagonals intersected at a point and formed 4 triangles

∵ The angle of measure 69° is an exterior angle of the triangle that

   contains angles z, x, and 23°

∵ The opposite interior angles to the angle of measure 69° are x and

   the angle of measure 23°

→ By using the rule above

∴ x + 23° = 69°

→ Subtract 23 from both sides

∴ x + 23 - 23 = 69 - 23

∴ x = 46°

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.