In a parallelogram, if two opposites are congruent, then the two opposites are equal. We apply this description to solve the problem. ∠O = ∠M since they are opposite 2x = 3x - 55 55 = 3x - 2x 55 = x
Total of all angles in the parallelogram is 360° ∠L + ∠N +∠O +∠M=360° 360° - ∠O -∠M = ∠L + ∠N note that ∠L =∠N 360° -110° -110° = 2∠N 70° = ∠N
Solving for Y, ∠N = 5Y = 70° Y=70/5 Y=14
Therefore, the value of "x" is 55 and the value of "y" is 14. The answer is the letter "C".
