BD−→− bisects ∠ABC such that m∠ABD = (4x−5)∘ and m∠DBC = (3x+2)∘.

Find m∠ABC.

m∠ABC = ∘

A bisector divides lines, angles and shapes into equal segments

The measure of angle ABC is 46 degrees

The given parameters are:

Given that line BD is the bisector of angle ABC, it means that:

and

So, we have:

Collect like terms

Evaluate like terms

Recall that

So, we have:

Substitute 7 for x

Hence, the measure of angle ABC is 46 degrees

Read more about bisectors at:

link

Step-by-step explanation:

Given: BD bisects

To find:

Solution:

A bisector of an angle divides it into angles of equal measures.

As BD bisects ,

Put

So,

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )

answer: it actually depends on which is the independent variable and which is the dependent variable. let us say we're looking at a linear equation. y=2x+3. we theoretically could switch the equation to be x=(y-3)/2 and it would be the same line. so either a causes b or it can be that b causes a. so technically the answer is false

step-by-step explanation: