Answer:
C
Step-by-step explanation:
ΔJKL consist of 3 angles: ∠mLJK, ∠mKLJ and ∠mJKL
We are given the measures of ∠mLJK and ∠mKLJ
In order to find ∠mJKH we must find the missing angle in the triangle
Remember that angles in a triangle add up to equal 180
If we are given two angles we can find the missing angle by subtracting the measures of the known angles from 180
so ∠mJKL = 180 - 37 - 69
180 - 37 - 69 = 74
Hence, ∠mJKL = 74°
Now to find ∠mJKH
Angles ∠K, ∠mJKH and ∠mJKL appear to be formed on a straight line
Angles formed on a straight line add up to equal to 180
So ∠K + ∠mJKH + ∠mJKL = 180 ( note that this is the equation that will be used to solve for ∠mJKH )
∠K is a right angle, indicated by the little square.
Right angles have a measure of 90° so ∠K = 90
We have also calculated the measure of ∠mJKH = ( 74° )
That being said we plug in the given values into the equation created earlier and solve for ∠mJKH
We would have 90 + ∠mJKH + 74 = 180
Now we solve for ∠mJKH
step 1: combine like terms
90 + 74 = 164
now we have 164 + ∠mJKH = 180
step 2 subtract 164 from each side
180 - 164 = 16
164 - 164 cancels out
we're left with ∠mJKH = 16
Hence the answer is C
