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Naya [18.7K]
1 year ago
13

Proving Vertical Angles Are Congruent

Geography
1 answer:
Umnica [9.8K]1 year ago
6 0

The diagram shows that ∠2 and ∠4 are the vertical angles.

<h3>What are vertical angles?</h3>

Vertical angles are the angles that are opposite of each other when two lines cross.

The statements are:

1. < 2 & < 4 are vert. angles

2. Lines M & N intersect at P

3. < 2 & < 3 are a linear pair

4. m < 2 + m < 3 = 180

5. <3 and < 4 are a linear pair

6. m < 3 + m <4 =180

7. m < 2 + m < 3 = m < 3 + m < 4

8. m < 2 = m < 4

9. < 2 =~ <4

Here are the reasons:

1. Given

2. Def of vertical angles.

3. Def if. Linear pair

4. Angle addition postulate

5. Def of a linear pair

6. Angle addition postulate

7. Substitution property

8. Subtraction property

9. Def of =~ angles.

Learn more about angles on:

brainly.com/question/14362353

#SPJ1

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