Chapter 6, Problem 11CR

To determine

To complete: the blank in the given statement.

Answer to Problem 11CR

  $m\angle T$

Explanation of Solution

Given information:

The given statement is “In $\Delta TOP$ , if $OT>OP$ , then $m\angle P>\underset{\_}{}$ ”.

Concept used:

The angle opposite to largest side is greater than the angle opposite to smallest side of the

triangle.

Consider the below figure

  

The angle opposite to $OT$ is $P$

The angle opposite to $OP$ is $T$

  $OT>OP\Rightarrow m\angle P>m\angle T$

Hence, $m\angle P>\underset{\_}{m\angle T}$ .