Question

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

Answer 1

9514 1404 393

Answer:

  B.  66°

Step-by-step explanation:

The remote exterior angle (z) is the sum of the measures of the interior angles (x, y).

  x + y = z

  (5n -19) +(n +7) = (144 -6n)

  12n = 156 . . . . . . . . . . . . . . . . . add 6n+12

  n = 13 . . . . . . . . . . . . . . divide by 12

Then the measure of the remote exterior angle is ...

  m∠z = (144 -6(13))° = (144 -78)°

  m∠z = 66°

__

x = 46°

y = 20°