Answer:
(B) the measure of angle K=118°
Step-by-step explanation:
From the given figure, ∠KJM=78°, ∠JML=118°,∠MLK=46°
Now,since JKLM is a quadrilateral and we know that sum of all the angles of a quadrilateral is =360°, thus
∠KJM+∠JML+∠MLK+∠JKL=360°
⇒78°+118°+46°+∠JKL=360°
⇒242°+∠JKL=360°
⇒∠JKL=360°-242°
⇒∠JKL=118°
Thus, the measure of angle K=118°
