Two lines intersect to form a linear pair. If the two adjacent angles formed are #4x# and #5x-7#, then what Is the measure of those angles?

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Answer 1 · 2015-11-23T23:08:05

The two angles form a straight line or 180 degrees ...

Set up your equation :

#4x+(5x-7)=180#

#9x=187#

#x=187/9#

So, the two angles measure:

#4x=4(187/9)=748/9~~83.1^o#

#(5x-7)=(5(187/9)-7=872/9~~96.9^o#

CHECK YOUR WORK :

#(83.1^o)+(96.9^o)=180^o#

hope that helped