The sum of the measures of angles Q, R, and S is 9x
The measure of each angle is as follows:
[tex]Q = 2x + 4[/tex]
[tex]R= 4x - 12[/tex]
[tex]S=3x + 8[/tex]
The sum of the angles is represented as:
Sum = Q + R + S
Substitute values for Q, R and S
[tex]Sum = 2x + 4 + 4x - 12 + 3x + 8[/tex]
Collect like terms
[tex]Sum = 2x + 4x + 3x+ 4 - 12 + 8[/tex]
Evaluate like terms
[tex]Sum = 9x+0[/tex]
[tex]Sum = 9x[/tex]
Hence, the sum of the measures of angles Q, R, and S is 9x
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