Answer:
a)
b) AG = 15 units
c) Perimeter of polygon SUBAG = 78 units
Step-by-step explanation:
Given:
Polygon ROTFL ~ Polygon SUBAG
Similar polygons mean they have similar angles and the ratio of corresponding sides and ratio of their perimeter are equal.
Part A:
Given that
Sum of all interior angles of a pentagon is
Due to similarity property of the two pentagons,
Part B:
Ratio of corresponding sides is equal.
Given the sides SU = 12, RO = 8 and FL = 10 units respectively.
Part C:
Ratio of corresponding sides must be equal to ratio of perimeter of the two polygons:
So, the answers are:
a)
b) AG = 15 units
c) Perimeter of polygon SUBAG = 78 units