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OpenStudy (anonymous):
SHOW ALL OF THE STEP THAT YOU USE TO SOLVE THE PROBLEM
18.<1 and<2 are supplementary angles. m<1 is 4y+7,and m<2is 9y+4. FIND m<2
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OpenStudy (mertsj):
What does supplementary mean?
OpenStudy (anonymous):
supplementary angles are two angles that equal 180 degrees
OpenStudy (mertsj):
So if angle 1 and angle 2 are supplementary, what does that mean?
OpenStudy (mertsj):
More precisely, supplementary angles are 2 angles whose SUM is 180
OpenStudy (mertsj):
how do you find a sum?
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OpenStudy (mertsj):
What is the sum of 3 and 5 ?
OpenStudy (anonymous):
you add them so it be 8
OpenStudy (mertsj):
yes. you find a sum by adding.
What is the sum of 4y and 9y?
OpenStudy (anonymous):
13 y
OpenStudy (mertsj):
What is the sum of 7 and 4?
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OpenStudy (anonymous):
11
OpenStudy (mertsj):
What is the sum of 4y+7 and 9y+4
OpenStudy (anonymous):
13y+11
OpenStudy (mertsj):
So those two angles are supplementary. When you add them you get 180. So write the equation that says that.
OpenStudy (mertsj):
Are 120 and 60 supplementary angles?
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OpenStudy (mertsj):
What is 120 + 60?
OpenStudy (anonymous):
180 so it right
OpenStudy (mertsj):
\[(4y+7)+(9y+4)=180\]
\[13y+11=180\]
\[13y=169\]
\[y=13\]
\[<2=9y+4=9(13)+4=121^{o}\]
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