A picture frame is shaped as a heptagon. The measure of one angle is 144°. The remaining interior angles are congruent. What is the measure of each remaining interior angle in the picture frame?
126°

180°

174°

150°

-Pleaseeee Helpp !

Question

A picture frame is shaped as a heptagon. The measure of one angle is 144°. The remaining interior angles are congruent. What is the measure of each remaining interior angle in the picture frame? 
126° 

 180° 

 174° 

 150° 

-Pleaseeee Helpp !

anonymous · Answer

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Total sum of interior angles = 5 x 180
                                                    = 900 degrees

Out of 7 vertices, one vertices is 144 degree. So we have only  6 vertices remaining with equal (congruent) angle each  [see drawing]

So angle remaining = 900 - 144
                                    = 756 degree

Dividing the 756 degree among the 6 vertices remaining 
                                      = 756 / 6
                                       = 126 degree

anonymous · Answer

@AyoMegan, is it ok?