Solve for x. Each figure is a parallelogram. This is a rhombus. This is also difficult to solve. Please help me again.

Question

Angle M is undetermined, angle J=45x, angle L is undetermined, angle K=15x

Answer 1

If the vertices of the rhombus are labeled in alphabetical order (J, K, L, M), angle J is supplementary to angle K.

 

m∠J + ∠K = 180

45x + 15x = 180

60x = 180

x= 3

 

m∠J = 135°, m∠K = 45°

 

In a rhombus the opposite angles are congruent, ∠J ≅ L∠, ∠K ≅ ∠M.

 

m∠L = 135°, m∠M = 45°