Two parallel lines are crossed by a transversal? 115 x ? What is the value of x? x = 45 x = 65 x = 95 x = 115

Question

x = 45
x = 65
x = 95
x = 115

Answer 1

     \

    1 \  2

<----\--------------->

      3 \ 4

         \

       5  \ 6

<-------\------------->

         7  \ 8

              \

 

 

8 angles are formed when two parallel lines are crossed by a transversal.  

 

Corresponding angles are equal (these are the pairs labelled 1 and 5, 2 and 6, 3 and 7, and 4 and 8).  

Vertical angles are also equal (these are the pairs labelled 1 and 4, 2 and 3, 5 and 8, and 6 and 7).  

 

Any angles that form a linear pair are supplementary, which means they sum to 180°.  These are the pairs 1 and 2, 1 and 3, 2 and 4, 3 and 4, 5 and 6, 5 and 7, 6 and 8, and 7 and 8.  

 

Alternate interior angles are equal.  These are angles 3 and 6, and 4 and 5.

Alternate exterior angles are also equal.  These are angles 1 and 8, and 2 and 7.  

 

Same side interior angles are supplementary.  These are angles 3 and 5, and 4 and 6.  

Same side exterior angles are also supplementary.  These are angles 1 and 7, and 2 and 8.  

 

Depending where the x and the 115 are located in your diagram, this should be enough to help you figure out the value of x.