# a. name the vertex of <4 b. Name the sides of <1 c. Write another Name for <5 d. classify each angle

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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

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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

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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.

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Find

We have:

is calculated using:

Find

is calculated using:

Where

So, we have:

Collect like terms

Divide both sides by 2