Sarla made a drawing of a geometric figure for a fabric print. The figure was a quadrilateral with a pair of angles measuring 40° each. If the figure she drew is a concave polygon, which of these could be the measures of the other two angles?

Question

anonymous · Answer

160°, 120°
 







170°, 60°
 







210°, 80°
 







230°, 50°

anonymous · Answer

can u show me how to salve this Hero

hero · Answer

Bascially, a convex quadrilateral has at least one angle that is greater than 180, so to solve this we need to first know that the interior angles of the quadrilateral must add to 360. We already know two of the angles are 40 degrees, which adds to 80 degrees. Therefore, 360 - 80 = 280. So we need to find two angles such that one of them is at least greater than 180 degrees and they both combine to be 280 degrees. 

The only pair of angles that satisfy this are 230 and 50.

anonymous · Answer

thank u hero ur so freeking smart XDD