Answer:
- 50x +130x = 180
- x = 1
- ∠L = 130°
- ∠M = 50°
- ∠K = 50°
Step-by-step explanation:
Assuming the figure is a parallelogram, adjacent angles are supplementary, and opposite angles are congruent. This gives rise to the equation ...
50x +130x = 180° . . . . equation
When we solve this, we get ...
180x = 180° . . . . . collect terms
x = 1° . . . . . . . . . . divide by 180
Then the angle measures are ...
∠J = 130x = 130°
∠K = 50x = 50°
∠L = 130x = 130° . . . . opposite angle J
∠M = 50x = 50° . . . . . opposite angle K
