Question

What is the measure of YW?

Answer 1

$\huge\boxed{20}$

We know that $\overline{YV}$ and $\overline{VW}$ are equal, and we're looking for their sum. First, we'll need to find the value of $b$.

Set the expressions equal to each other:

$5b=b+8$

Subtract $b$ from both sides:

$4b=8$

Divide everything by $4$:

$b=2$

Now that we have the value of $b$, we can substitute it into the sum of the two expressions to get our final answer.

$5b+(b+8) \\ 5b+b+8 \\ 6b+8$

Substitute:

$6(2)+8$

Simplify:

$12+8 \\ \boxed{20}$