Hence, Option B: 105 is the correct answer
Further explanation:
We can see that when a traversal intersects two parallel lines alternate angles and corresponding angles are form.
In the given diagram,
7x and 5x+30 are alternate interior angles
while
y and 7x are corresponding angles.
When a traversal intersects two parallel lines, the alternate interior angles and the corresponding angles are equal.
So,
[tex]7x=5x+30\\7x-5x=30\\2x=30\\\frac{2x}{2}=\frac{30}{2}\\x=15\\7x = 7*15\\=105[/tex]
As we know thaty=7x
so y=105°
Hence, Option B: 105° is the correct answer
Keywords: Parallel lines, Alternate angles, Corresponding angles
Learn more about parallel lines at:
- brainly.com/question/8806598
- brainly.com/question/10480770
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