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LiRa [457]
2 years ago
6

Can you help me with this, please? Thanks in advance ​

Mathematics
1 answer:
ololo11 [35]2 years ago
7 0

Answer:

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

<u>Supplementary angles add up to 180°.</u>

  • m∠TRU = 180° - 82° = 98°

Consider ΔRTU

<u>∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:</u>

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