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3 years ago

Can someone help me on this. I'm stuck on most of these problems.

Mathematics

1 answer:

azamat3 years ago

5 0

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,

$7x=5x+30\\7x-5x=30\\2x=30\\\frac{2x}{2}=\frac{30}{2}\\x=15\\7x = 7*15\\=105$

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:

#learnwithBrainly

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Can someone help me on this. I'm stuck on most of these problems.​

Can someone help me on this. I'm stuck on most of these problems.