Question

Select the reason that best supports Statement 8 in the given proof.

Answer 1

Given

Ray RV bisects angle ABC

$\begin{gathered} m\angle ABV=7x-3 \\ m\angle VBC=2x+7 \end{gathered}$

Find

Select the reason that best supports statement 8 in the given proof.

Explanation

Given

Ray RV bisects angle ABC

so , by definition of angle bisect

$m\angle ABV=m\angle VBC$

by substitution ,

$7x-3=2x+7$

addition property of equality

$7x=2x+10$

now, by substitution property of equality ,

$5x=10$

and last , by division property of equality

$x=2$

Final Answer

Therefore , the correct option is B.