Respuesta :

aliaalqemzi456

Answer:

A: 37 degrees B: 49 degrees C: 57 degrees hope this helps

mhanifa

Answer:

  • a = 8, b = 3.2, c = 2.8

Step-by-step explanation:

Use the property of angle bisector:

  • An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

Using the above and the diagram we can see:

  • a/6 = 4/3

and

  • a/7 = b/c

Also we have:

  • b + c = 6

From the first equation we find:

  • a = 6*4/3 = 8

And from the second equation we get:

  • 8/7 = b/c ⇒ b = 8/7c

Substitute b in the third equation:

  • 8/7c + c = 6
  • 15/7c = 6
  • c = 42/15 = 2.8

Then, find b:

  • b = 6 - 2.8 = 3.2

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