Ég finn ekki sólgleraugun mín, og þess vegna lít ég sennilega þreyttari út en ég er.

Finn is the 1st person singular present of the verb finna.

So:

• að finna = to find
• ég finn = I find / I am finding

In a sentence like this, ég finn ekki ... often translates naturally as I can’t find ..., even though Icelandic does not use a separate word for can here.

In a normal main clause, ekki usually comes after the finite verb.

So:

• Ég finn ekki sólgleraugun mín = I do not / can’t find my sunglasses

This is a very common pattern in Icelandic:

• Ég skil ekki = I don’t understand
• Hann kemur ekki = He isn’t coming

So the placement of ekki here is completely standard.

Yes. Sólgleraugu is a plural-only noun, just like English sunglasses or glasses.

So even if you mean one pair, Icelandic still uses the plural:

• sólgleraugu = sunglasses
• sólgleraugun = the sunglasses

This is very normal and not something special to this sentence.

The ending shows the definite article, so sólgleraugun means the sunglasses.

In Icelandic, the is often attached to the end of the noun instead of being a separate word.

So:

• sólgleraugu = sunglasses
• sólgleraugun = the sunglasses

That is one of the most important patterns in Icelandic nouns.

In Icelandic, the most natural way to say my X is often:

noun + definite article + possessive

So:

• sólgleraugun mín = my sunglasses
  literally something like the sunglasses mine

This is extremely common.

Also, mín agrees with the noun in gender, number, and case. Here it is the correct form for a neuter plural noun like sólgleraugu.

Þess vegna means therefore, that’s why, or because of that.

It is a very common fixed phrase in Icelandic.

Literally, it comes from:

• þess = of that
• vegna = because of / due to

So the literal sense is close to because of that.

In this sentence, it connects the two ideas:

• I can’t find my sunglasses
• therefore / that’s why I probably look more tired

This happens because Icelandic usually follows the verb-second rule in main clauses.

That means the finite verb normally comes in the second position. If something other than the subject comes first, the verb still stays second, and the subject moves after it.

Here, þess vegna comes first, so the next element is the verb:

• þess vegna lít ég ...

not

• þess vegna ég lít ...

The same thing happens in sentences like:

• Í dag fer ég heim = Today I’m going home
• Sennilega kemur hann ekki = Probably he isn’t coming

Líta út is a verb expression meaning to look or to appear.

So here:

• lít ... út = look / appear

The word út is a particle that belongs with líta, but in Icelandic these particles are often separated from the conjugated verb.

That is why you get:

• Ég lít þreyttur út = I look tired
• Hún lítur vel út = She looks good

So in your sentence:

• lít ég sennilega þreyttari út

the út still belongs with lít, even though other words come in between.

Because Icelandic usually forms the comparative directly on the adjective.

• þreyttur = tired
• þreyttari = more tired

So þreyttari already contains the meaning of more tired.

This is similar to English tired → more tired, but Icelandic often uses a changed adjective form instead of a separate word.

Here it is the comparative because the sentence is making a comparison:

• þreyttari ... en ... = more tired ... than ...

Yes. Adjectives in Icelandic usually agree with the noun or pronoun they describe.

Here þreyttari describes ég, so it is in a singular form appropriate for a person. Conveniently, þreyttari works for both a masculine and a feminine speaker in this position.

So whether the speaker is male or female, this form can still be correct here.

Because after a comparative, Icelandic often uses a full clause:

• þreyttari út en ég er = more tired than I am

This is very natural. It makes the comparison explicit.

The word en here means than, not but.

So:

• og = and
• en = than

Even though English sometimes shortens this kind of comparison, Icelandic often keeps the verb er.

Sennilega means probably.

Its position is somewhat flexible, but the placement here is very natural:

• lít ég sennilega þreyttari út

You could also see things like:

• Ég lít sennilega þreyttari út
• Sennilega lít ég þreyttari út

The exact placement can affect emphasis a little, but the meaning stays basically the same.

It is the direct object of finn, so it is in the accusative.

The verb finna normally takes an accusative object.

However, with sólgleraugu, the nominative and accusative plural look the same, so you do not see a visible change here.

That means:

• sólgleraugu can look the same in nominative and accusative
• sólgleraugun mín is still functioning as the accusative object in this sentence

This is a good example of how case can be present grammatically even when the form does not visibly change.