yes because you need to do this then you need to do that and plus yeah you right
not sure how you are supposed to answer so it can be either
1<x<3
or
(1,3)
15x + 11x + 8x+5 = 180
34x + 5 = 180
34x = 180-5
34x = 175
x = 5.147
by substitution each value by of x by 5
75 + 55 + 45 = 175
The value of x is 4 and the value of ∠ABC is 68°.
To solve this problem we first have to understand the concept of an angle bisector. Angle bisector is a straight line passes through the vertex of an angle dividing the angle in two equal angles.
According to the condition BD bisects ∠ABC
Therefore the two angles formed by the angle bisector are ∠ABD and ∠CBD.
The angle value of these two angles are equal.
Given:
m∠ABD=11x-10
m∠CBD=8x+2
Therefore from the above condition:
m∠ABD=m∠CBD
Substituting the values we get:
11x-10=8x+2
Solving the linear equation to find the value of x.

Now let us find the value of ∠ABC
m∠ABC=m∠ABD+m∠CBD
or,∠ABC=11x-10+8x+2
or,∠ABC=19x-8
Substituting the value x=4 in the equation we get:
m∠ABC=19×4-8
or,m∠ABC=68°
Therefore we can conclude that the value of xis 4 and the value of ∠ABC is 68°.
To learn more about angle bisectors:
brainly.com/question/12896755
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