Question

Find the measure of the remote exterior angle. (Angles above)

Answer 1

9514 1404 393

Answer:

  D.  128°

Step-by-step explanation:

The exterior angle is the sum of the remote interior angles.

  x = y + z

  198 -5n = (5n +37) +(n +7)

  154 = 11n . . . . . . . . . add 5n-44

  14 = n . . . . . . . . . . divide by 11

The remote exterior angle is ...

  m∠x = (198 -5(14))°

  m∠x = 128°

Answer 2

just an addition to the superb reply above by sqdancefan

$\begin{array}{llll} a + \underline{y + z} &=& 180\\ a + x & = & 180\\ \underline{y + z} &=&x \end{array} \\\\[-0.35em] ~\dotfill\\\\ 198-5n = (5n+37)+(n+7)\implies 14=n\implies \measuredangle x = 128$