What are the measures of ∠a, ∠b, ∠c and ∠d? explain how to find each of the angle measure.

Angle a has a little square box in it, which means right angle, which is equal to 90 degrees.

Angle A = 90 degrees

Angle A m B and the 59 forms a straight line which needs to equal 180

Angle B = 180 - 59 - 90 = 31

Angle B = 31 degrees.

Angle C is a vertical angle with A and B, so Angle C = 90 + 31 = 121 degrees.

Angle D is a vertical angle with 59, so equals 59 degrees.

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.