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In the figure below, mLJK = 37° and mKLJ = 69°.

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 measure 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

4 puzzles in 3 hours

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