Question

In parallelogram JKLM, m<L exceeds m<M by 30 degrees. What is the measure of M<J?

1) 75°
2)105°
3)165°
4)195°​

Answer 1

Answer:

2)105°

Step-by-step explanation:

In this parallelogram, J should be congruent to L (J=L). We can solve this problem if we find out the value of L.

The sum of the adjacent angle of the parallelogram will be equal to 180 degrees, so the equation is

L + M = 180

M=180- L

If L exceeds M by 30 degrees then the equation will be

L=M +30

If you combine both equations, it will be

L+30 = M +30

L+30 = (180- L) +30

L + L= 180 + 30

2L= 210

L=105