Chapter 7.4, Problem 2CE

To determine

To tell: whether the given statement is true or false.

Answer to Problem 2CE

The given statement is true.

Explanation of Solution

Given information:It is given that $\Delta ABC\sim \Delta DEF$ and $m\angle D=45$ .

The given figure is as follows:

  

Consider the similar triangles $\Delta ABC\sim \Delta DEF$ .

The corresponding sides of the two similar triangles are in proportion and corresponding

angles are congruent. So,

  $\begin{array}{l}\angle A=\angle D\\ \angle B=\angle E\\ \angle C=\angle F\end{array}$

So, $m\angle A=m\angle D=45$

Hence,the given statement is true.