#1**+2 **

In the top triangle, the angle supplemental to 130° = 50°

So.....the other angle in the top triangle is = 85°

And in the quadrilatral, the angle supplemental to this = 95°

And in the leftmost triangle, again, the angle supplemental to 130° is 50°

So the missing angle in the triangle is 180 - 50 - 30 = 100°

And the angle supplemental to this in the quadrilateral = 80°

So.....the sum of the interior angles in the quadrilateral = 360

So we have that

360 = 95 + 80 + 130 + x simplify

360 = 305 + x subtract 305 from both sides

55° = x

CPhill
Aug 2, 2017