What is the measure of angle z in the figure above?

What is the measure of angle z in the figure above?

Explanation

Sum of angles in a quadrilateral = 360°

Given angles:

  • 109°
  • 67°
  • 82°

Add them:

109 + 67 + 82 = 258°

Now subtract from 360°:

360° − 258° = 102°