Answer:
∠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°
