Ray BD bisects ∠ABC so that m∠DBC = x + 8 and
m∠ABD = 2x − 15. What is x?
Ray BD bisects ∠ABC
That means the two angles formed are congruent.
That means their measures are equal. So,
x+8 = 2x-15
Now just find x.
since everyone else won't answer it, I will. x = 13
thank. you somesh the answer was 13
i got 23?
To find the value of x, we can use the fact that the sum of angles in a triangle is always 180 degrees.
Given that Ray BD bisects ∠ABC, we know that ∠ABD and ∠DBC are equal. Let's set them equal to each other and solve for x.
m∠ABD = 2x - 15
m∠DBC = x + 8
Since ∠ABD = ∠DBC, we can set up an equation:
2x - 15 = x + 8
Now, let's solve for x.
2x - x = 8 + 15
x = 23
So, x = 23.
"bisect" means to cut into two equal parts, so
2x-15 = x+8
just solve this trivial equation for x