Khloe A.

asked • 05/25/16

the measure of one angle is 9 times the measure of another.if the two angles are supplementary, find the angles of the measures.

geometry question

1 Expert Answer

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Henry F. answered • 05/25/16

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Supplementary means the two angles sun to 180 degrees (Angle 1+ Angle 2 = 180).  If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. 
Add like terms: 10x = 180.
solve for x by dividing both sides by 10. 
 
Therefore, x = 18 degrees = smaller angle.
9x= 9(18)= 162 degrees= larger angle. 
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