Chapter 5.1, Problem 2CE

To determine

To find: the deduction about angles $G,R$ and $A$ .

Answer to Problem 2CE

It can be proved that $\angle R=90°$ and $\angle A=90°$ .

Explanation of Solution

Given information:

Given figure,

Given,

  $\angle M$ is a right angle.

Calculation:

  $GRAM$ is a parallelogram.

Then opposite side is parallel to each other.

Then, $GR\parallel MA$ and $GM\parallel RA$ .

  $GR\parallel MA$

Then,

  $\angle G+\angle M=180°$

It is known that $\angle M=90°$

Thus,

  $\begin{array}{c}\angle G+90°=180°\\ \angle G=90°\end{array}$

Similarly, it can be proved that $\angle R=90°$ and $\angle A=90°$ .