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Natalka [10]
3 years ago
13

Angles 1,2,3 and 4 are formed by two intersecting lines. State the single angle fact necessary to prove that m<1+m<2=m<

2+m<3

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

The angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.

<h3>Linear Pair/Angles on a Straight Line</h3>
  • Two angles on a straight line can be referred to as a linear pair.
  • The sum of the angles of a linear pair equals 180 degrees (supplementary angles)

Thus,

∠1 and ∠2 are on a straight line, therefore,

m∠1 + m∠2 = 180°

∠2 and ∠3 are on a straight line, therefore,

m∠2 + m∠3 = 180°

Thus:

m∠1 + m∠2 = m∠2 + m∠3

Therefore, the angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.

Learn more about linear pair on:

brainly.com/question/13218054

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