Через точку C, яка лежить поза паралельними площинами α і β, проведено прямі a і b, що пере-

тинають площину α в точках A і A1, а площину

β — у точках B і B1 відповідно. Знайдіть AA1,

якщо: AC : BC = 1 : 3, BB1 = 9 см​

1. Hearing the voice of a comrade, I left the room to meet him. 2. Having read the book, boy
  returned it to the library. 3. I learned that the owner sold her only child.
  sneak into Canada. 4. Be careful when crossing the street. 5. Leaving things in the wardrobe, you get
  number. 6. Felt that Kerry was worried, Druet went backstage to cheer her up. 7. The boy
  having lost parents, he was placed in an orphanage. 8. Returning with guests from the hunt, Cyril
  Dubrovsky grabbed about him. 9. Pacing heavy
  He glanced out the window and stopped at the three.
  10. "Hello, Mademoiselle Mescherskaya," she said in French, she does not look up from her knitting.
  11. Words that I spoke about this in advance. 12. She
  someone is moaning. 13. He looked at a boy sitting on a chair in
  garden. 14. He quietly dozed off, sitting in a chair under a tree. 15. After kissing the children, she went to work.
  16. Molly, ironing clothes in the living room, had already gone down to the kitchen. 17. Looking down, he saw his
  son with friends. 18. They are talking.

Дано: Треугольник АВС. АВ=ВСб М∈BD, K∈AC. MK║AB. <ABC=126°,<BAC=27°.

Найти <MKD, <KMD и <MDK.

Решение.

Треугольник АВС равнобедренный, следовательно BD - биссектриса, высота и медиана треугольника. <BAC=<BCA=27°, Значит

<ABD = (1/2)*(<ABC) = 126/2 = 63°. <BDA=<MDK = 90°.

MK параллельна АВ, значит <MKD=<BAC=27°, а <KMD=<ABD=63°, как соответственные углы при параллельных прямых АВ и МК и секущих AD и BD соответственно.

ответ: <MKD=27°, <KMD=63°, <MDK=90°.