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## Question:

13.) Write a Paragraph proof ( Thanks!!)

Given Line BC = Line EC and Line AC = DC Line

Prove Line BA= Line ED

## Answer:

An **angle **is an undefined term in plane geometry.

*The vertex of**is B**The sides of**are BC and BD**Another name for**is**.**is a right angle**is an obtuse angle**is a straight angle.*

__Vertex of __

The **vertex **of an **angle **is the point where the **rays **that form the **angle **meet.

From the diagram, **rays BE and BA **meet at **point B **to form .

Hence, the name of the **vertex **is B

__Sides of __

The **sides **of an **angle **are the **rays **or **sides **that form the **angle**

is formed by **rays BC and BD**

Hence, the **sides **are **BC and BD**

__Another name for __

An **angle **can be named by combining the **sides **and the **vertex**.

The **sides **of are **DB and BE**, while the **vertex **is B

This means that **rays DB **and **BE **meet at **point B**

Hence, **another name **is

__Classify the angles__

Angles are classified based on the measure

is a **right angle**, because

is an **obtuse angle **because is greater than but less than

is a **straight angle**, because

__Angle bisector__

The **line **or **ray **that divides an **angle **into equal halves is an **angle bisector**.

**Ray BE **is an **angle bisector**, because it divides into two **equal halves**.

__Find __

We have:

__ is calculated using:__

__Find __

__ is calculated using:__

Where

So, we have:

Collect like terms

Divide both sides by 2

Read more about **angles** at:

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