Find the measures of the angles in the figure.
65°, 65°, 115°, 115°
50°, 50°, 100°, 100°
50°, 50°, 130°, 130°
60°, 60°, 120°, 120°
In each of these figures, the two angles that are the same are congruent angles. The sum of the angles in a quadrilateral is always 360°. Therefore, for each figure:
65° + 65° + 115° + 115° = 360°
50° + 50° + 100° + 100° = 300°
50° + 50° + 130° + 130° = 360°
60° + 60° + 120° + 120° = 360°
Therefore, the first, third, and fourth figures have measures of angles that add up to 360°, while the second figure does not.