Chapter 6, Problem 12CT

To determine

To complete: the blank in the given statement.

Answer to Problem 12CT

  $UO>UE$

Explanation of Solution

Given information:

The given statement is “If $m\angle UEO>m\angle UOE$ then $\underset{\_}{}>\underset{\_}{}.$ ”.

The given figure is as follows:

  

In any triangle, the lesser angle has the smaller opposite side and long angle has the

longer opposite side.

From given figure,

The side opposite to the angle $m\angle UEO$ is $UO$

The side opposite to the angle $m\angle UOE$ is $UE$

If $m\angle UEO>m\angle UOE\Rightarrow UO>UE$

Hence, $\underset{\_}{UO}>\underset{\_}{UE}$