davidresendiz36
davidresendiz36 davidresendiz36
  • 08-05-2018
  • Mathematics
contestada

Find the values of x and y for which the lines are parallel.

A.) x = 40, y = 53


B.) x = 78, y = 53


C.) x = 53, y = 78


D.) x = 78, y = 55

Find the values of x and y for which the lines are parallel A x 40 y 53 B x 78 y 53 C x 53 y 78 D x 78 y 55 class=

Respuesta :

budwilkins
budwilkins budwilkins
  • 08-05-2018
The apex If the triangle is 40, bc it's alternate interior with 40, due to the parallel lines.
Now all angles sum 180 in a triangle:
y+10 + 77 + 40 = 180
y + 127 = 180
y +137 -127 = 180-127
y = 53
Now the y+10 + 40 + x-1 sum to 180 2nd they all make a straight line:
x-1 + 40 + 53+10 = 180
x + 102 = 180
x + 102 -102 = 180-102
x = 78
Therefore the correct answer is:
B.) x = 78, y = 53
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