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MatroZZZ [7]
2 years ago
12

Help pleasee!

Mathematics
1 answer:
victus00 [196]2 years ago
7 0

Answer:

  1. Corresponding Angle Postulate
  2. Corresponding Angle Postulate
  3. Reflexive Property
  4. Similar

Step-by-step explanation:

The pairs of angles referenced in statements 1 and 2 are "corresponding" angles, so the Corresponding Angle Postulate applies.

The Reflexive Property is what says something is the same as itself. This is used in statement 3.

The upshot of the AA Similarity postulate is to say triangles are similar (as in statement 4).

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Construction: Consider the attachment

Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST

Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.

Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.

Step-04: Now, join the point SQ and extend up to Z such that EF = SZ

Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF

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