If possible, prove that ab||cd. if not possible, show and explain why

AB || CD

Step-by-step explanation:

Remember that vertical angles are always equal/ congruent to each other

Since 108° is vertical to angle S, angle S also equals 108°

Since a line is equal to 180°, and you now know that S equals 108°, you would subtract 180 by 108 to get line RT.

180-108= 71°

By default, line VW also equals 71° (you are repeating the same progress you did to get RT)

The angle vertical to <V is equal to 134°, so angle V also equals 134°

180-134 gives you the answer to the angle by 134 and V, they should equal 46°

Corresponding angles equal each other, so angle R is also 134°, and by default the other numbers are equal to to what you did at the top right

Once again, since corresponding angles are equal to each other, you would automatically have the same answers for the bottom line;

the outermost angles equal 134° and the innermost angles equal 46°

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.