Question

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

Answer 1

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°