SOLUTION: seven of the angles of an octagon have measures of 90 degrees, 105 degrees, 125 degrees, 130 degrees, 150 degrees, 155 degrees, and 165 degrees. how do you find the measure of the

Algebra ->  Parallelograms -> SOLUTION: seven of the angles of an octagon have measures of 90 degrees, 105 degrees, 125 degrees, 130 degrees, 150 degrees, 155 degrees, and 165 degrees. how do you find the measure of the       Log On


   

Question 117370This question is from textbook
: seven of the angles of an octagon have measures of 90 degrees, 105 degrees, 125 degrees, 130 degrees, 150 degrees, 155 degrees, and 165 degrees. how do you find the measure of the 8th angle? This question is from textbook

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of all interior angles of an 8 sided figure is:
180(8-2)
180*6
1080
what you have are 7 of these angles which total:
90+105+125+130+150+155+165=920
so the missing angle must be:
1080-920=160 degrees.