Question

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

Answer 1

Explanation:

answerr for answer???

Answer 2

`\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!