SOLUTION: A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB. Find angle BCF

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Question 1106559: A regular pentagon ABCDE and a square ABFG are formed on opposite sides of AB. Find angle BCF
Answer by greenestamps(13198) About Me  (Show Source):
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(1) Angle ABF is 90 degrees.
(2) Angle ABC is 108 degrees.
(3) You can find the measure of angle CBF knowing that angles ABF, ABC, and CBF sum to 360 degrees.
(4) The square and pentagon have the same side length, so triangle CBF is isosceles. Knowing the measure of angle CBF lets you determine the measure of angle BCF.