Find the perimeter of the larger pentagon if the two pentagons are similar.

The two pentagons are similar, so we know corresponding sides will all be in the ratio 24/18
 for example the vertical right side can be found by:
  24/18=x/21 x=28.
  Find the other sides similarly and add them all up.

step-by-step explanation:

; fx

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh