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^ZAQ is congruent to ^XSW. If the sum of the measure of ^Z and ^Q is 175 degrees what is the degree measure of ^S.

 Mar 21, 2017
 #1
avatar+5259 
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Triangle ZAQ is congruent to Triangle XSW. If the sum of the measures of angles Z+Q is 175 degrees, what is the measure of S?

 

The problem is, we don't have the measurements of either Z or Q.

 

At the moment, S could be a huge range of numbers. Do you know what either Z or Q is?

 Mar 21, 2017
 #2
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Z and Q is 175 Degrees.

 Mar 21, 2017
 #3
avatar+5259 
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that means Z could be 80, Q could be 95

 

or Z could be 125 and Q could be 50

 

There's no possible way to find a definitive answer for angle S's measure.

rarinstraw1195  Mar 21, 2017
 #4
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Thank you for helping.

 Mar 21, 2017
 #5
avatar+5259 
+1

Wait a minute... I'm dumb -n-);;;

 

180-175 is 5

 

Angle S is 5 degrees.

rarinstraw1195  Mar 21, 2017
 #6
avatar+99 
0

Oh I see you have to sub. to get your awnser. thank you :)

 Mar 21, 2017
 #8
avatar+5259 
+1

No problem, I'm not thinking straight atm. Hopefully I helped sufficiently :D

rarinstraw1195  Mar 21, 2017
 #7
avatar+101151 
+1

ΔZAQ = ΔXSW

 

Therefore......angles Z and Q   = angles X and W

 

And Z + Q   =   175°   = X + W

 

So.......angle A must  = 180 - 175 =  5°

 

But, angle A   = angle S......so S must also = 5°

 

 

 

cool cool cool

 Mar 21, 2017
 #9
avatar+99 
+3

Well that helped thank you everyone:):):):):):):):)

 Mar 21, 2017
 #10
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liliiilililililili

 Mar 21, 2017

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