To find the measure of angle K in the kite shaped figure JKLm, we can start by using the properties of a kite. In a kite, two pairs of adjacent angles are equal, and the sum of all interior angles in any quadrilateral is 360 degrees.
From the information provided:
– Angle J = 78 degrees
– Angle M = 118 degrees
– Angle L = 46 degrees
We need to find the measure of angle K. To do this, we can set up the equation based on the sum of the angles in a quadrilateral:
Angle J + Angle K + Angle L + Angle M = 360 degrees
Substituting the known values into the equation:
78 + K + 46 + 118 = 360
We can simplify this:
242 + K = 360
Now, isolate K:
K = 360 - 242
K = 118 degrees
Thus, the measure of angle K is 118 degrees.
In summary, using the properties of the kite and the total degrees add up to 360, we found that angle K measures 118 degrees.