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Karo-lina-s [1.5K]
1 year ago
14

PLEASE HELP AS SOON AS POSSIBLE​

Mathematics
1 answer:
sdas [7]1 year ago
5 0

For the given figure, a parallel to b and l  parallel to m

                                          x° = 95°

                                          y° = 95°

                                          z =  85°  

From figure,

                  a || b    and l || m

                      ∠RUT = ∠aRU (Alternate interior angle)

                       ∠RUT = 85°

Again,

               ∠RUT +  ∠UTS = 180° (Co-interior angle)

               85° + x° = 180°

                 x° = 180° - 85°

                  x°  = 95°

again from figure,

                              x° = y° (Vertical opposite angle)

                              y° =  95°

also,

               ∠UTS +  z° = 180°  (Linear Pair)

                x° + z° = 180°

                  z° = 180° - x°

                     = 180° - 95°

                    z° = 85°

               

So from above calculation,

                                           x° = 95°

                                          y° = 95°

                                          z =  85°  

Hence option B is correct

To learn more about Parallel line visit: brainly.com/question/16701300

#SPJ9

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