Question

Create an equation to solve for x:

L
50x
1301
K
Equation for x:
Part 2
Solve for x, then find the measures of all angles:

Answer 1

• 50x +130x = 180
• x = 1
• ∠L = 130°
• ∠M = 50°
• ∠K = 50°

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