Respuesta :

8+3x(=the angle were looking for)+x=180
8+4x=180
8-8+4x=180-8
4x=172
4x/4=172/4
x=43(measure of the supplement)
43 times 3 =129
129+8=137
137 is your answer.
checking work 137+43=180

The measure of the angle that is 8 greater than 3 times it's supplement is; 43°

  • Let the supplement of the angle be x.

The angle is 8 greater than 3 times it's supplement.

This expression is;

3x + 8

  • We know that supplementary angles sum up to 180. Thus;

3x + 8 + x = 180

4x = 180 - 8

4x = 172

x = 172/4

x = 43°

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