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olasank [31]
2 years ago
13

Agenthammerx Please help me on this I beg you

Mathematics
1 answer:
arlik [135]2 years ago
4 0

Answer:

  • 48°
  • ∠Y ≅ ∠X

Step-by-step explanation:

<h3>Question 1</h3>

<u>Prove that The two triangles are congruent</u>

  • ∠ABD ≅ ∠BDC - given
  • BD ≅ DB - reflexive property
  • ∠ADB ≅ ∠CBD - given
  • ΔABD ≅ ΔCDB - ASA postulate

<u>Find the measure of angle C</u>

  • ∠A ≅ ∠C - Corresponding  parts of congruent triangles
  • m∠C = m∠A = 180° - (62° + 70°) = 180° - 132° = 48°
<h3>Question 2</h3>

<u>Given </u>

  • ΔXYZ with XZ ≅ YZ

Opposite angles are corresponding to the sides.

Therefore the angles opposite to congruent sides are also congruent:

  • ∠Y ≅ ∠X
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