Chapter 9, Problem 23CUR

To determine

To complete: the blank in the given statement with the words always, sometimes or

never.

Explanation of Solution

Given information:

The given statement is “In $▱ABCD$ , if $m\angle A>m\angle B$ , then $\angle D$ is $\underset{\_}{}$ an acute angle”.

The opposite angles of parallelogram are always congruent.

The acute angle measure ninety degrees.

  

When,

  $\begin{array}{l}m\angle A>m\angle B\\ m\angle A+m\angle B=180\\ \Rightarrow m\angle A>90\\ \Rightarrow m\angle D>90\end{array}$

Hence,the correct term is Never.