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Find the measure of each marked angle. A ray rises from left to right from the center of a horizontal line forming two angles. The top left angle measures (9x plus 9) degrees.The top right angle measures (6x plus 6) degrees.

left parenthesis 9 x plus 9 right parenthesis degrees(9x+9)°

left parenthesis 6 x plus 6 right parenthesis degrees(6x+6)°

 

The larger angle measures

The smaller angle measures

ladiikeiii  Nov 16, 2017
 #1
avatar+7155 
+3

 

The sum of the two angles is  180°  because together they form a straight line.

 

(9x + 9)°  +  (6x + 6)°  =  180°

 

9x + 9  +  6x + 6  =  180                  Combine like terms on the left .

 

15x + 15  =  180              Subtract  15  from both sides.

 

15x  =  165                      Divide both sides by  15 .

 

x  =  11

 

The larger angle measures     (9x + 9)°   =   (9(11) + 9)°   =   (99 + 9)°   =   108°

The smaller angle measures     (6x + 6)°   =   (6(11) + 6)°   =   (66 + 6)°   =   72°

hectictar  Nov 16, 2017

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