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Brut [27]
3 years ago
12

Help fill out the proof

Mathematics
1 answer:
kondaur [170]3 years ago
5 0

Answer:

Step V: Transitive property of Inequality

Step VI: Subtraction Property of Inequality

Step-by-step explanation:

In Step IV, the RHS of t=both the sides are equal.

So, they equated the LHS of both the sides.

This is the transitive property of equality which states that if a = b and c = b then a = c.

In this case, a = $ \angle {m_1} + \angle {m_2}  $

b = 180⁰

c = $ \angle {m_2} + \angle {m_3} $

Consequently, $ \angle {m_1} + \angle {m_2} = \angle {m_2} + \angle {m_3} $

In step VI, $ \angle {m_2} $ is subtracted on both the sides. So, this is called as Subtraction Property of Equality.

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