> I went to the my company to rode my bycicle in the morning. When I rode a bike, I could saw the blue sky without cloud. I felt cooling a Because weather was nice. It was a very beautiful day^^.

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I went to the my company to rode my bycicle in the morning.

I went to the company by riding my bicycle in the morning.

You either eliminate the article "the" or the pronoun "my".

"Rode" is the past form of "ride".

By+verb+ing (by riding) to indicate how your action of going to the company is performed.

Observe the proper spelling of your word, B-I-C-Y-C-L-E.

I went to my company by bicycle in the morning.

When I rode a bike, I could saw the blue sky without cloud.

When I rode the bike, I could see the blue sky without any clouds.

Use the article "the" as you have already mentioned "bike" in your previous sentence.

Could + base form of verb - "Could" should be followed by "see", the base form of the verb "rode".  

"Any" is used to refer to a number of thing.

When I rode the bike, I could see the clear, blue sky..

I felt cooling Because weather was nice.

I felt cool because the weather was nice.

Don't capitalize the first letter of the word "because" unless it's place at the beginning of your sentence.

No need to put -ing with the word "cool". "Cooling" having the effect of making something less warm or hot whereas "cool" means having a fairly low temperature.

It was a very beautiful day^^.

This sentence is correct.