SOLUTION: In a hexagon ABCDEF, angle A and angle B are right angles. If angle C is congruent to angles D,E,F, what is the measure of angle F in degrees?

Algebra ->  Polygons -> SOLUTION: In a hexagon ABCDEF, angle A and angle B are right angles. If angle C is congruent to angles D,E,F, what is the measure of angle F in degrees?      Log On


   

Question 972208: In a hexagon ABCDEF, angle A and angle B are right angles. If angle C is congruent to angles D,E,F, what is the measure of angle F in degrees?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
A = 90
B = 90
C = D = E = F

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S = 180(n-2)
S = 180(6-2) ... replace n with 6
S = 180*4
S = 720

All 6 angles add up to 720 degrees

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Let x be the measure of angles C,D,E,F. The goal is to solve for x.

A+B+C+D+E+F = 720
90+90+x+x+x+x = 720
180+4x = 720
4x = 720-180
4x = 540
x = 540/4
x = 135

So the measure of angle F is 135 degrees.