Question

For the information and the figure shown below, it can be deduced that angles JKM and LKN are Given: ZJKN = /LKM congruent. Which property verifies this conclusion? N M A) Angle Addition B) Angle Subtraction C) Angle Multiplication OD) Angle Division

Answer 1

Given the following:

`\measuredangle LKM\cong\measuredangle JKN`

for angles JKM and LKN, we can use the angle addition postulate to get the following:

`\begin{gathered} \measuredangle JKM=\measuredangle JKN+\measuredangle NKM \\ \measuredangle LKN=\measuredangle LKM+\measuredangle NKM \end{gathered}`

but angles LKM and JKN are congruent, therefore:

`\begin{gathered} \measuredangle JKM=\measuredangle JKN+\measuredangle NKM=\measuredangle LKN \\ \Rightarrow\measuredangle JKM=\measuredangle LKN \end{gathered}`