Answer:
The measure of angle K is 118°
Explanation:
The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:
K + L + M + J = 360°
Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.
From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:
K + 46° + 118° + 78° = 360°
K + 242° = 360°
K = 360° - 242°
K = 118°
So, the measure of angle K is 118°
Hope this helps :)