What is m∠knl? enter your answer in the box. ° a horizontal line segment m k intersects with line segment j l at their midpoint n. the upward-left and downward-right angles formed by these lines are obtuse. the upward-left obtuse angle is labeled left parenthesis 5 x plus 2 right parenthesis degrees. the downward-right acute angle is labeled left square bracket 3 left parenthesis x plus 14 right parenthesis right square bracket degrees.

The measure of

Step-by-step explanation:

According to the below diagram,  horizontal line segment intersects with at their midpoint .

So,    (As they are vertical angles)

Given that,   and  

As they are adjacent angles and points and are co-linear, so  

That means.......

Thus,  

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation: