Question

ines x and y are parallel. If B=3x+16
, G=2x+29
, and A=2y+17
then find the values of x and y. The figure is not drawn to scale.Two parallel lines x and y connected by a transversal line cutting them both. 8 angles form as a result and are labeled A-H(10 points)
x=


y=

Answer 1

Since lines x and y are parallel, we know that corresponding angles are congruent. Therefore, angle B and angle A are congruent.

We can set up an equation using angle B and angle A:
3x + 16 = 2y + 17

To find the value of x, we need to isolate x on one side of the equation.
Subtract 16 from both sides:
3x = 2y + 1

Now, isolate x by dividing both sides by 3:
x = (2y + 1)/3

Therefore, the value of x is (2y + 1)/3.

Note: The value of y cannot be determined without more information.