Find the values of the variables in the parallelogram.

Step-by-step explanation:

We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°

To find y we know that the sum of interior angles of a triangle is 180°

y+109°+33°=180°

y+142°=180°

y=38°

Now,

x+38°+z=180

33+38+z=180

z=180-71=109°

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)