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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 ____degrees°.

 

The smaller angle measures _____ degrees 

ladiikeiii  Nov 30, 2017
 #1
avatar+87334 
+2

The angles formed will be supplementary....so....

 

[ 9x + 9 ] + [ 6x + 6 ]  = 180

 

15x + 15 =  180

 

15 [ x + 1 ]  =  180         divide both sides by 15

 

x + 1  =  12     subtract 1 from both sides

 

x  = 11

 

So

 

The larger angle is   9(11) + 9  =  108°

The smaller angle is  6(11) + 6  =  72°

 

 

cool cool cool

CPhill  Nov 30, 2017

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