Please help me! Tell me if the answer is correct.

yes you are correct

Step-by-step explanation:

the you know that all angles in a triangle must add up to 180 degrees. since you know the 120 degrees to the left you know that the remaining angle in the triangle (not x or y) must be supplementary to that. so 180 - 120 = 60.

You also know that since the lines are parallel that F must also be 118 degrees. Applying then the same supplementary logic as above you can find out that x = 180 - 118 = 62.

now you know 2 angles in the triangle and since all inside angles must add up to 180 you can do 180 - 60 - 62 to get x = 58.

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