Respuesta :

mhanifa

Answer:

  • B. 45

Step-by-step explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

  • ∠AYL ≅ ∠BYL

Substitute and solve for x:

  • 7x + 17 = 3(4x - 1)
  • 7x + 17 = 12x - 3
  • 12x - 7x = 17 + 3
  • 5x = 20
  • x = 4

Find the value of ∠BYL:

  • 3(4*4 - 1) =
  • 3(16- 1) =
  • 3(15) =
  • 45

This is matching the answer option B.

The red angles must be equal as YL is bisector

  • 7x+17=3(4x-1)
  • 7x+17=12x-3
  • 17+3=12x-7x
  • 20=5x
  • x=4

<BYL

  • 3(4(4)-1)
  • 3(16-1)
  • 3(15)
  • 45

Option B