Ray BD bisects ∠ABC so that m∠DBC = (x + 7)° and m∠ABD = (2x − 11)°. What is x?
18
To find the value of x, we need to use the properties of angle bisectors and angle relationships.
We know that Ray BD bisects ∠ABC, meaning that it divides it into two equal angles. Therefore, we can set up an equation based on the given angle measures:
m∠DBC = m∠ABD
Substituting the given angle measures:
x + 7 = 2x - 11
Now, we can solve this equation to find the value of x:
x - 2x = -11 - 7
-x = -18
Dividing both sides of the equation by -1:
x = 18
Therefore, x = 18.
yes
if BD bisects ABC, then the two halves are equal, right? So just solve
x+7 = 2x-11