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Can someone please help it’s due in 15 minutes! Imagine is there.

Can someone please help it’s due in 15 minutes! Imagine is there.-example-1

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5 votes

Answer:

Explanation:

answerr for answer???

User Blurfx
by
8.4k points
3 votes

Answer:


\angle ABC=116\textdegree

Explanation:

Remember that by the definition of angle bisector, the two resulting angles are equivalent to each other.

So, ∠CBD and ∠ABD are equivalent. In an equation:


\angle CBD=\angle ABD

Substitute them for their equations:


5x+13=9x-23

Solve for x. Add 23 to both sides:


5x+36=9x

Subtract 5x from both sides:


36=4x

Divide both sides by 4:


x=9

So, the value of x is 9.

Now, to find ∠ABC, note that it is the sum of ∠CBD and ∠ABD. So:


\angle ABC=\angle CBD+\angle ABD

Since we know the two angles are equivalent, we can substitute:


\angle ABC=\angle ABD+\angle ABD

We can combine like terms:


\angle ABC=2\angle ABD

Substitute ∠ABD for the equation. This gives us:


\angle ABC=2(9x-23)

Substitute 9 for x. So:


\angle ABC=2(9(9)-23)

Multiply:


\angle ABC=2(81-23)

Subtract:


\angle ABC=2(58)

Multiply:


\angle ABC=116\textdegree

And we're done!

User Flodin
by
8.3k points

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