Question

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

Answer 1

Answer:

Step-by-step explanation:

answerr for answer???

Answer 2

Answer:

$\angle ABC=116\textdegree$

Step-by-step 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!