Question

I need guidance with finding the measure of angle J and K

Answer 1

Case: Parallelograms

Method:

Sketch the parallelogram

The angles mHence the angle J is 45 degrees

The angles mHowever,

`\begin{gathered} m\angle H+m\angle K=180\degree\lbrace Adjacent\text{ }angles\text{ }ofa\text{ }paralellogram\rbrace \\ 45\degree+m\angle K=180\degree \\ m\angle K=180\degree-45\degree \\ m\angle K=135\degree \end{gathered}`

Final answers:

1. J= 45 degrees {Opposite angles are equal in a parallelogram}

2. K= 135 degrees {Adjacent angles sum up to 180 degrees in a parallelogram}