Hello from MrBillDoesMath!
Answer:
132 degrees
Discussion:
As l is parallel to m, corresponding angles an alternate interior angles are equal. So
1) m_NTS = m_QPT =>
5x - 32 = 3x => add 32 to both sides, subtract 3x from both sides
5x - 3x = 32 =>
2x = 32 =>
x = 16
2) m_PTU = 180 - m_NTS => as m_NTS = 5x-32
= 180 - (5x - 32) => as x = 16
= 180 - (5*16 -32) =>
= 180 - ( 80-32) =>
= 180 - 48 =>
= 132
Thank you,
MrB
