I need help with angles

1. ∠CFD = 28°

2. ∠RPQ = 53°

Step-by-step explanation:

For the first one:

∠CFD and ∠DFE are angles on a straight line

Angles on a straight line add up to equal 180

That being said we can find the missing angle (∠CFD) by subtracting the given angle measure (152°) from 180

so ∠CFD = 180 - 152

180 - 152 = 28

Hence, ∠CFD = 28°

For the second one:

Complementary angles have a sum of 90°

If ∠RPQ and ∠SPR are complementary angles we can find the missing angle ( ∠RPQ in this case ) by subtract the given angle measure ( 37° ) from 90

so ∠RPQ = 90 - 37

90 - 37 = 53

Hence , ∠RPQ = 53°

it's both, now can you answer my most recent question?

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.