Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

What is the measure of Angle F?

OpenStudy (anonymous):

OpenStudy (anonymous):

what is the formula relating no of sides to the total degree in a polygon....(n-2)times 180

OpenStudy (anonymous):

this is a hexagom...so n = 6 therefore total angle is 4 times 180 that is 520

OpenStudy (anonymous):

so when u add up all the inerior angles, your sum should be 520

OpenStudy (anonymous):

i still dont get it? theres an equation for F that i dont understand what to do with?

OpenStudy (anonymous):

134 +28 +10x - 4 +10x -4 +5x +8 + 5x +8 = 520

OpenStudy (anonymous):

i will go over this again

OpenStudy (anonymous):

if there are n sides to a polygon, the total sum of the interior angles in (n-2) times 180.. Since our given polygon has 6 sides, n equals 6. Therefore the sum of the interior angles = (6-2) times 180 that is 4 times 180 that is 520

OpenStudy (anonymous):

in the given figure some interior angles are given as expressions, but we know that their total sum is 520....so we add up everything and set it equal to 520

OpenStudy (anonymous):

and thats how we got the previously typed equation

OpenStudy (anonymous):

does it look good till now?

OpenStudy (anonymous):

134 +28 + 10x -4 +10x - 4+ 5x + 8+5x +8 =520

OpenStudy (anonymous):

so we add the like terms and we get 30x +170 = 520

OpenStudy (anonymous):

oh ok i think i sort of get it so u have to get all of the equations together then add them:D

OpenStudy (anonymous):

yepp now u subtract 170 from both sides, we get 30 x = 350

OpenStudy (anonymous):

or x = 35/3

OpenStudy (anonymous):

now ur angle f is 10x -4

OpenStudy (anonymous):

plug in the value 35/3 for x

OpenStudy (anonymous):

that is 10(35/3) -4

OpenStudy (anonymous):

350/3 - 4

OpenStudy (anonymous):

(350-12)/3

OpenStudy (anonymous):

112.66 hope i didnt make any computing errors

OpenStudy (anonymous):

hmmm ok i sort of have the idea in my head:) so after comparing like terms and then subtracting both sides u gett 520?

OpenStudy (anonymous):

yepp

OpenStudy (anonymous):

so the answer would be 112.66 at the end?

OpenStudy (anonymous):

thats what i got....but do check the additions and subtractions again

OpenStudy (anonymous):

ok i will:)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!