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Answered

Fill in the blanks. Use lower case.

Statements Reasons
1. ∠1 ≅ ∠2, ℓ ⊥ n 1.
2. ǁ n 2. converse of alternate interior angles theorem
3. ℓ ⊥ p 3. transversal theorem

Fill In The Blanks Use Lower Case Statements Reasons 1 1 2 ℓ N 1 2 ǁ N 2 Converse Of Alternate Interior Angles Theorem 3 ℓ P 3 Transversal Theorem class=

Answer :

MrRoyalgo

Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.

The blanks will be filled with the following texts

  1. Given
  2. [tex]\mathbf{\angle 1 \cong \angle 2}[/tex]
  3. Proved

From the question, the following parameters are given:

[tex]\mathbf{\angle 1 \cong \angle 2}[/tex] and [tex]\mathbf{l \perp 1}[/tex]

This means that, the first blank will be completed with given.

By converse of alternate interior angles theorem

[tex]\mathbf{\angle 1 \cong \angle 2}[/tex] --- angle 1 and angle 2 are congruent

So, the second blank will be completed with [tex]\mathbf{\angle 1 \cong \angle 2}[/tex]

The above statement means that:

[tex]\mathbf{l \perp 1}[/tex] has been proved

Hence, the last blank will be completed with proved.

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