**Example Problem: Naming Angles in a Triangle****Problem Statement:**Name the marked angle in 2 different ways.**Diagram Explanation:**The diagram shows a right triangle labeled \( \triangle CDE \). - **Vertices**: The vertices of the triangle are labeled as \(C\), \(D\), and \(E\). - **Right Angle**: The right angle is located at vertex \(C\), meaning \( \angle ECD = 90^\circ\). - **Marked Angle**: The marked angle is located at vertex \(E\).**Steps to Name the Marked Angle:**1. **Using Three Letters**: Start from one vertex, move to the marked vertex, and end at the third vertex. Here, the marked angle can be named using the vertices: \[ \angle ECD \text{ or } \angle DCE \]2. **Using One Letter**: Another common way to name an angle is by using just the vertex of the angle. In this case, the marked angle at \(E\) can be simply named: \[ \angle E \]**Answer Box:**- First way: \[ \angle ECD \]- Second way: \[ \angle DCE \] Fill these names in the provided answer boxes and click "Submit Answer" to check your solution.(Note: The online platform interface displayed contains text boxes for inputs and a 'Submit Answer' button at the bottom.) **Conclusion:**This exercise helps in understanding how to denote angles using different naming conventions in geometric figures.

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Answered: Name the marked angle in 2 different…

Math

Geometry

Name the marked angle in 2 different ways. E C D

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.2: Angles And Their Relationships

Problem 37E: Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On...

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