Respuesta :

mhanifa

Answer:

  • 48°
  • ∠Y ≅ ∠X

Step-by-step explanation:

Question 1

Prove that The two triangles are congruent

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

Find the measure of angle C

  • ∠A ≅ ∠C - Corresponding  parts of congruent triangles
  • m∠C = m∠A = 180° - (62° + 70°) = 180° - 132° = 48°

Question 2

Given

  • ΔXYZ with XZ ≅ YZ

Opposite angles are corresponding to the sides.

Therefore the angles opposite to congruent sides are also congruent:

  • ∠Y ≅ ∠X