Javongabriel Javongabriel
  • 02-10-2020
  • Mathematics
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Which theorem or postulate justifies this statement? ∠6≅∠13

Which theorem or postulate justifies this statement 613 class=

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eudora eudora
  • 10-10-2020

Answer:

Theorem for alternate exterior angles.

Step-by-step explanation:

From the figure attached,

Two lines GN and FH are the parallel lines and a transversal JM is intersecting these lines at two distinct points.

Different pair of angles formed are between these parallel lines,

∠6 ≅ ∠10 [Corresponding angles]

∠8 ≅ ∠10 [Interior alternate angles]

∠6 ≅ ∠13 [Exterior alternate angles]

Therefore, theorem for alternate exterior angles justifies that ∠6 ≅ ∠13.

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