Question

Figure JKLM is a kite. What is the measure of angle K?

Answer 1

118 + 78 + 46 = 242

3 inside angles should equal 360 degrees

so angle K = 360 - 242 = 118 degrees

Answer 2

(B) the measure of angle K=118°

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°