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

3 answers

how many degrees in a heptagon? is it 360? because of that's correct, here how to work it out:
a= single angle
126+6a=360
6a=234
a=39

hope that helps!
The sum of the angles in an n-gon is 180(n-3)
3-gon = 180 (triangle)
4-gon = 360 (rectangle)
...

For a heptagon, that's 5(180) = 900

126+6a = 900
6a = 774
a = 129

That makes more sense. Try drawing a 7-sided figure with one large obtuse angle, and all the rest these bitty 39-degree angles!
129°