Respuesta :

mhanifa

Answer:

∠TRU is supplementary with ∠PQS as SQ║TR.

Supplementary angles add up to 180°.

  • m∠TRU = 180° - 82° = 98°

Consider ΔRTU

∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:

  • m∠TRU + m∠RTU = m∠RUV
  • 98° + m∠RTU = 155°
  • m∠RTU = 155° - 98° = 57°
MisterBrainly

<TRU

  • 180-<PQS
  • 180-82
  • 98°

Sum of 2 interiors =exterior

<RTU

  • 155-98
  • 57°

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