The roots of the human civilizations are mostly associated with the Asian continent because most of the early civilizations developed here, like the Sumerians, Persians, Phoenicians, Babylonians, Chinese, Hindus. These civilizations, especially the ones from the southwestern part of Asia, played a key role in the development of the civilizations along the Mediterranean in Europe, since they were borrowing culture, alphabet, math, lots of inventions, mythology etc. After their cultural traits were accepted in Europe, they started to spread around even more, and gave the basis for the development of lots of other civilizations.
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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.
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