Question

In parallelogram LMNO, what are the values of x and y?

Answer 1

Answer:

C.) x=55, y=14

Step-by-step explanation:

Answer 2

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".