Chapter 8, Problem 1CA

To determine

The congruent angles in the given figure.

Answer to Problem 1CA

  $\begin{array}{l}m\angle GHK\text{ and }m\angle HKL\\ m\angle CED\text{ and }m\angle KMO\\ m\angle QOR\text{ and }m\angle POM\end{array}$

Explanation of Solution

Given:

All streets are straight angles.

  

Calculation:

Following measures are given:

  $\begin{array}{l}m\angle AEB=37°\\ m\angle AEB=37°\\ m\angle CED=55°\\ m\angle GHK=90°\\ m\angle HKL=90°\\ m\angle KMO=55°\\ m\angle POM=47°\\ m\angle QOR=47°\end{array}$

Here,

  $\begin{array}{l}m\angle GHK=m\angle HKL\\ m\angle CED=m\angle KMO\\ m\angle QOR=m\angle POM\end{array}$

Therefore, the congruent angles will be:

  $\begin{array}{l}m\angle GHK\text{ and }m\angle HKL\\ m\angle CED\text{ and }m\angle KMO\\ m\angle QOR\text{ and }m\angle POM\end{array}$