Need math help: what is the measure of an interior angle of a regular pentagon

timer Asked: Dec 14th, 2015
account_balance_wallet $5

Question Description

360 degrees

72 degrees

108 degrees 

180 degrees 

Tutor Answer

School: Cornell University


For a pentagon the sum of all interior angles is 180*3 degrees = 540 degrees (ask why).

All angles of a regular pentagon are the same, therefore the measure of one angle is

540/5 = 108 degrees.

Please ask if something is unclear.

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