Chapter 6.5, Problem 8WE

To determine

To complete: the given statement by writing <, $=$ , Or >.

Answer to Problem 8WE

  $c<10$ .

Explanation of Solution

Given information:

Given figure,

  $c--10$

Calculation:

Consider the following diagram:

By Isosceles triangle theorem,

  $\begin{array}{c}m\angle EBD=180°-\left(m\angle ABE+m\angle DBC\right)\\ =180°-\left(90°+46°\right)\\ =44°\end{array}$

Therefore, $m\angle VXZ<m\angle YXZ$

Further, $XY\cong XV$ and $XY\cong XZ$

Then applying Side-Angle-Side Inequality,

Therefore, it is concluded that,

  $c<10$