Ray BD bisects ∠ABC so that m∠DBC = (x + 6) and m∠ABD = (2x – 12). What is x?

Question

Ray BD bisects ∠ABC so that m∠DBC = (x + 6) and m∠ABD = (2x – 12). What is x?

Answers:
A.12
B.14
C.16
D.18

Answer 1

since ABC is bisected, the two halves are equal, right? So

x+6 = 2x-12

now find x

Answer 2

To find the value of x, we need to set up an equation based on the given information.

Since Ray BD bisects ∠ABC, we know that ∠DBC is congruent to ∠ABD. Therefore, we can set up the following equation:

x + 6 = 2x - 12

Now, we can solve this equation to find the value of x.

First, let's isolate x on one side of the equation. To do this, we can subtract x from both sides:

6 = x - 12

Next, let's isolate the x term on one side by adding 12 to both sides:

6 + 12 = x

18 = x

Therefore, the value of x is 18.

The correct answer is D. 18.

Ray BD bisects ∠ABC so that m∠DBC = (x + 6) and m∠ABD = (2x – 12). What is x?

since ABC is bisected, the two halves are equal, right? So

THANKS

To find the value of x, we need to set up an equation based on the given information.