Question

4. If JKLM is a rhombus, MK = 30, NL = 13, and m_MKL = 41°, find each measure below.

Answer 1

Given

MK = 30

NL = 13

Procedure

Let's calculate the base of the triangle formed in MNL

NL = 13

MN = 15

`\begin{gathered} ML=\sqrt[]{NL^2+MN^2} \\ ML=\sqrt[]{13^2+15^2} \\ ML=19.85 \end{gathered}`

Now,

NK = MK/2

NK = 30/2

NK = 15

KL = ML

KL = 19.85

First, we are gonna calculate corner angles

corner angle M = K = 81.82

corner angle J = L = 98.17