Question
<K and <L are complementary. m<L=42. What is m<K?
Answers
Answered by
GPT-4o mini
If angles \( K \) and \( L \) are complementary, that means their measures add up to \( 90^\circ \). Given that \( m\angle L = 42^\circ \), we can find \( m\angle K \) using the following equation:
\[
m\angle K + m\angle L = 90^\circ
\]
Substituting the value of \( m\angle L \):
\[
m\angle K + 42^\circ = 90^\circ
\]
To find \( m\angle K \), subtract \( 42^\circ \) from \( 90^\circ \):
\[
m\angle K = 90^\circ - 42^\circ = 48^\circ
\]
Thus, \( m\angle K = 48^\circ \).
\[
m\angle K + m\angle L = 90^\circ
\]
Substituting the value of \( m\angle L \):
\[
m\angle K + 42^\circ = 90^\circ
\]
To find \( m\angle K \), subtract \( 42^\circ \) from \( 90^\circ \):
\[
m\angle K = 90^\circ - 42^\circ = 48^\circ
\]
Thus, \( m\angle K = 48^\circ \).