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Mathematics 24 Online
OpenStudy (anonymous):

Find the measure of angle B?

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

this polygon has 7 sides

jimthompson5910 (jim_thompson5910):

so n = 7

jimthompson5910 (jim_thompson5910):

S = 180(n-2) S = 180(7-2) S = 180*5 S= 900 So the angles all ad up to 900 degrees

jimthompson5910 (jim_thompson5910):

So... A + B + C + D + E + F + G = 900 (12x-9)+(9x+14)+(133)+(10x+9)+(10x)+(136)+(10x+5) = 900 solve for x, then use this to find B = 9x+14

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