Respuesta :

absor201

Answer:

The value of x = 4

so

  • m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16
  • m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16

Step-by-step explanation:

We know that an angle bisector bisects the angle into two equivalent angles.

When BD bisects angle ABC, it forms two equivalent angles which are:

  • m∠ABD
  • m∠CBD

such as

m∠ABD = m∠CBD

as

m ∠ABD = 6x-8

m∠CBD = 3x+4

so the equation becomes

m∠ABD = m∠CBD

6x-8 = 3x+4

6x - 3x = 4 + 8

3x = 12

Divide both sides by 3

x = 4

Thus, the value of x = 4

so

  • m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16
  • m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16

Otras preguntas