Chapter 7.2, Problem 2PSA

To determine

To calculate : The values of $m\angle A,m\angle C,m\angle CED$ .

Answer to Problem 2PSA

The value are $m\angle C={50}^0$ , $m\angle A={40}^0$ , and $m\angle CED={90}^0$

Explanation of Solution

Given information : The following information has been given

  $\angle CBA={90}^0$

  $\overrightarrow{DE}\left|\right|\overrightarrow{AB}$

  $\angle CDE={40}^0$

Formula used : Parallel lines create congruent angles on the lines

Calculation : We know that $\overrightarrow{DE}\left|\right|\overrightarrow{AB}$ . Hence, we can say that

  $\angle CDE=m\angle A={40}^0$

  $\angle CED=\angle CBA={90}^0$

  $m\angle C={180}^0-\angle CDE-\angle CED$

Thus,$m\angle C={50}^0$