Given lm, find the measure of (award brainliest)

Hello from MrBillDoesMath!

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

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.

x/3-10=8

x/3=18

x=48