Which of the following shows that EFGH is a parallelogram for y=7 and z=9?

The figure shows quadrilateral E F G H. Angle E measures 7 times y plus 11 degrees. Angle F measures 17 times y plus 1 degrees. Angle G measures 14 times z minus 6 degrees.

m∠E + m∠G = 180°; so EFGH is a parallelogram.
m∠F = m∠G = 120° and m∠E = 60°; so ∠E is supplementary to both ∠F and ∠G; so EFGH is a parallelogram.
m∠F = m∠G = 120°; so EFGH is a parallelogram.
m∠E = m∠F = 60° and m∠G = 120°; so ∠G is supplementary to both ∠E and ∠F; so EFGH is a parallelogram.

i think it would be c

mark brainliest if im right

step-by-step explanation:

answer: 8 years

step-by-step explanation:

the explanation is that in 8 years the child will be 20 and in 8 years the father will be 40 and 20 is half of 40.

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal