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Mathematics 21 Online
OpenStudy (anonymous):

help i will fan and give you a medal :) ABCD is a parallelogram. Find the measure of

OpenStudy (anonymous):

|dw:1417707285479:dw|

OpenStudy (anonymous):

can anybody help??

OpenStudy (anonymous):

@perl would you be able to help??

OpenStudy (perl):

in a parallelogram opposite angles are congruent

OpenStudy (perl):

|dw:1417707515255:dw|

OpenStudy (anonymous):

okay so if they are equal that means all angles are congruent right??

OpenStudy (perl):

not quite

OpenStudy (perl):

opposite pairs of angles are congruent

OpenStudy (perl):

<A = <C <B = <D

OpenStudy (anonymous):

okay but im confused on how to find angle a??

OpenStudy (perl):

first thing I would do is find x , using the fact that <B = <D

OpenStudy (perl):

<B = <D 7x + 13 = 8x - 8

OpenStudy (anonymous):

so x=21 :)

OpenStudy (perl):

correct

OpenStudy (perl):

now what is <B

OpenStudy (anonymous):

wouldnt it be 21??

OpenStudy (perl):

nope, x = 21

OpenStudy (perl):

the angle itself you have to plug in x

OpenStudy (perl):

<B = 7x + 13

OpenStudy (anonymous):

160 :)

OpenStudy (perl):

:)

OpenStudy (perl):

now we know two angles of the parallelogram

OpenStudy (anonymous):

so my answer is

OpenStudy (anonymous):

160??

OpenStudy (perl):

still more work to do

OpenStudy (perl):

you are looking for <A

OpenStudy (perl):

|dw:1417707930446:dw|

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