Sorry for the upside down image, but what is the measure of angle jkl, given the diagram?

∠JKL = 104°

Step-by-step explanation:

A triangle has 3 angles and their sum is always 180.

From the left triangle, we can write:

42 + 68 + ∠JKM = 180

110 + ∠JKM = 180

∠JKM = 180 - 110

∠JKM = 70

Then, looking at right-side triangle:

Side KM and ML are equal, so the angles opposite to these sides are equal. We can say those angles are "x".

Also, angle 68 (from left-side triangle) and ∠KML are in a straight line, which means their sum is 180. So we can find ∠KML. Shown below:

68  ∠KML = 180

∠KML = 180 - 68

∠KML = 112

Right side triangle can be thus written as:

112 + x + x = 180

112 + 2x = 180

2x = 180 - 112

2x = 68

x = 68/2

x = 34

Or, ∠MKL= 34

We know ∠JKL = ∠JKM + ∠MKL, so

∠JKL = 70 + 34 = 104°

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