Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.
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Question: Tagalog sentence: Aking mga nakaraang relasyon natapos sa isang mahirap na paraan para sa akin, bilang siya ginulangan at dumped sa akin.

Answer: My previous relationship ended in a difficult way for me, as she cheated and dumped me. I must admit I had my share of fault and bad behavior.


Question: Tagalog sentence: Ang point M ay ang midpoint ng Arc BC sa circle c. Kaya, ang dalawang Chords BM at CM ng c bilog ay may pantay na haba. Kaya, ang chordal angles ng mga dalawang Chords ay dapat pantay-pantay, sa ibang salita, mayroon kaming &lt; BAM = &lt; CAM. Kaya, ang point M kasinungalingan sa anggulo panggitnang guhit ng anggulo BAC.

Answer: The point M is the midpoint of the arc BC on the circle c. Thus, the two chords BM and CM of the circle c have equal length. Hence, the chordal angles of these two chords must also be equal; in other words, we have &lt; BAM = &lt; CAM. Hence, the point M lies on the angle bisector of the angle BAC. Similarly, the point N lies on the angle bisector of the angle BAD. But, of course, the angle bisector of the angle BAD is the exterior angle bisector of the angle BAC; hence, since the interior and the exterior angle bisector of an angle are always perpendicular to each other, the angle bisector of the angle BAC and the angle bisector of the angle BAD are perpendicular to each other. Hence, &lt; MAN = 90°.


Question: Tagalog sentence: Panahon ng Pagkasulat: Ang pagkatuklas ng mga bahagi ng papyrus na nasulat noong humigit kumulang A.D. 135 ang nagsasaad na nasulat, kinopya at ipinamahagi ang aklat na ito bago ang taong nabanggit.

Answer:
Date of Writing: Discovery of certain papyrus fragments dated around A.D. 135 require the book to have been written, copied, and circulated before then.