Question

Algebra find the value of each variable in the following paragraph show all work

Answer 1

from the first paralelogram, because their angles add 180 degrees:

x + 8 = 180 - 3x

x + 3x = 180 - 8

4x = 172

x = 172/4 = 43

using the second equation:

x + 8 = 180 - ( y + 9)

43 + 8 = 180 - y - 9

51 = 171 - y

y = 171 - 51 = 120

y = 120

So, for the left paralelogram, X = 43, and Y = 120

from the right paralelogram:

the bisectrices of a paralelogram intersect each other at the middle point so:

4x -2 = x + 10

also: y + 5 = 3y -1

taking the first equation: 4x - 2 = x + 10

4x - x = 10 + 2

3x = 12

x = 12/3

x = 4

taking the second equation:

y + 5 = 3y - 1

5 + 1 = 3y - y

6 = 2y

6/2 = y

3 = y

y = 3

So, for the right paralelogram, X = 4, and Y = 3