Find the sum of the angles

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DukiMath

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I am revising some of the geometry and cannot do some things .
Exercise: Chords KL and MN of the circle make an angle of 90. What is the sum of the angles MKL+KLN. Thanks!B6BDAD73-E7F4-41D5-B7AD-6A609C4738AF.jpeg
 
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Draw in the segments KM and LN, and mark the angles of interest.

Then ponder the theorems here, especially #4.
 
Please show your labeled picture, and tell us what facts you have found using the various theorems.

In particular, what does the fact that the chords are perpendicular tell you about the arcs?
 
I looked at the 4# theorem and I still do not get how you calculate arc angle value because and I have no clear idea how to do this. Sorry for my stupidity, I am disgrace to human race.
 
You are not a disgrace to the human race ;)

Please show us your updated diagram? Can you tell us something about the arc?
 
Since you said you are revising (I'd say reviewing), I assumed these theorems are familiar to you. Since they are not, I'll be a little more direct.

Start with theorem #4. Calling the intersection of the chords X, it says that angle KXN is equal to half the sum of arcs KN and LM. But angle KXN is a 90 degree angle. So ...

Now look at theorem #2. What does it say about the angles mentioned, MKL and KLN?

Or, if this is not enough, tell us what you do understand (which I'm sure is not nothing). We just need a place to start.
 
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