1 Answer

Taffit · Answer 1 · 2024-01-01T10:07:52+0000

We are given that lines HJ and KM are parallel. We notice that the angles:

$\begin{gathered} \angle KLN \\ \angle HIL \end{gathered}$

Are corresponding angles, and therefore they are congruent, that is:

$\angle KLN\cong\angle HIL$

Also, angles:

$\begin{gathered} \angle HIL \\ \angle JIG \end{gathered}$

Are vertical angles, therefore, they are equal:

$\angle HIL\cong\angle JIG$

Therefore, combining the two statements we get:

$\angle KLN\cong\angle JIG$

Therefore:

$\angle KLN=43$

Angle KLN equals 43 degrees.

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