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Mary's Pentagonal Garden: What's Her Angle?

GMAT-JCCDBC

The outline of Mary's garden is in the shape of a convex pentagon but all of its sides are different lengths. She wants to cover the garden with a protective netting stretched between four-foot tall poles that are placed at each corner of the garden. Note: the protective netting matches the shape of the garden exactly.

Irregular Pentagon-Google Images

What is the sum of the angles at the corners of the netting?​

A

${1440 }^{ ° }$

B

${1080 }^{ ° }$

C

${900 }^{ ° }$

D

${540 }^{ ° }$

E

${360 }^{ ° }$