Angles j and k are supplementary angles. wut is m<j if m<k = 117?

1 answer

Supplementary angles are two angles whose measures add up to 180 degrees.

Given that \( m<k = 117^\circ \), we can find \( m<j \) using the equation:

\[ m<j + m<k = 180^\circ \]

Substituting the value of \( m<k \):

\[ m<j + 117^\circ = 180^\circ \]

Now, subtract 117 degrees from both sides:

\[ m<j = 180^\circ - 117^\circ \]

\[ m<j = 63^\circ \]

So, \( m<j = 63^\circ \).