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Mathematics 17 Online
OpenStudy (anonymous):

Help please ! What is the measure of angle GCD? 116º 73º 29º 123º

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

start wid finding y

OpenStudy (anonymous):

am guessing you meant X ? do i do 2x times 3x+2

OpenStudy (anonymous):

The sum of all the angle sin the pentagon is 540. so, 4y+4y+(3y+11)+103+(4y-9)=540. solve for y to get the measure of y in degrees. since EDH is a straight line. find the measure of angleCDH. and then angle DCG can be found.

OpenStudy (anonymous):

i dont get it at all

OpenStudy (anonymous):

i got 29 for y

OpenStudy (anonymous):

am not sure what to do afer i got y

ganeshie8 (ganeshie8):

check again, y = 29 is wrong

ganeshie8 (ganeshie8):

actually i am wrong, y = 29 is correct

OpenStudy (anonymous):

hahaha lol i dont know what to do after that though

ganeshie8 (ganeshie8):

Next, find \(\angle EDC\)

OpenStudy (anonymous):

how??

OpenStudy (anonymous):

214?

ganeshie8 (ganeshie8):

EDC = 4y - 9 = 4(29) - 9 = 107

OpenStudy (anonymous):

ohhhhhh i doubled it i though it was marking half stupid mistake ? :/ now i dont know what to do wit that number

ganeshie8 (ganeshie8):

look at the pic

ganeshie8 (ganeshie8):

CDH and EDC are forming a straight line, eh ?

OpenStudy (anonymous):

yeah

ganeshie8 (ganeshie8):

Find CDH

OpenStudy (anonymous):

they care the same aren't they?

ganeshie8 (ganeshie8):

nope, they add up to 180

ganeshie8 (ganeshie8):

CDH + 107 = 180

OpenStudy (anonymous):

83 :)

OpenStudy (anonymous):

73*

ganeshie8 (ganeshie8):

yes

ganeshie8 (ganeshie8):

CDH = 73

ganeshie8 (ganeshie8):

Now the last step

ganeshie8 (ganeshie8):

look at the right quadrilateral, how many angles u knw in it ?

OpenStudy (anonymous):

1 the 74 right ?

ganeshie8 (ganeshie8):

just now we found CDH

ganeshie8 (ganeshie8):

and the H has a little square.

OpenStudy (anonymous):

90

ganeshie8 (ganeshie8):

dont ignore a little square

ganeshie8 (ganeshie8):

yea 90.

OpenStudy (anonymous):

123 :D

ganeshie8 (ganeshie8):

so, we knw 3 angles in it already. can we find GCD ?

OpenStudy (anonymous):

i believe so i just did 360 -74-73-90

ganeshie8 (ganeshie8):

Excellent ! 123 is correct !!

OpenStudy (anonymous):

ca you help me with one more these are the most confusing things i have ever seen in geometry

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

this is going to be easy :p

ganeshie8 (ganeshie8):

use this : sum of exterior angles in a polygon add up to 360

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