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.

the correct answer is the second option

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

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i hope this answer you! if you have any further questions or concerns, feel free to ask! : )

step-by-step explanation:

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