Respuesta :

MercilessSpark

Bisected angles are equal

[tex]\\ \tt{:}\longrightarrow 5x-11=4x+1[/tex]

[tex]\\ \tt{:}\longrightarrow 5x-4x=1+11[/tex]

[tex]\\ \tt{:}\longrightarrow x=12[/tex]

Option B

semsee45

Answer:

x = 12

Step-by-step explanation:

Bisect: To divide into two equal parts.

If BD bisects angle ABC then:

⇒ ∠ABD = ∠DBC

⇒ (5x - 11)° = (4x + 1)°

⇒ 5x - 11 = 4x + 1

Subtract 4x from both sides:

⇒ 5x - 11 - 4x = 4x + 1 - 4x

⇒ x - 11 = 1

Add 11 to both sides:

⇒ x - 11 + 11 = 1 + 11

⇒ x = 12

Therefore, the value of x is 12.

Learn more about angle bisectors here:

https://brainly.com/question/27774100

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