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HELP PLEASE ILL GIVE 10 POINTS

HELP PLEASE ILL GIVE 10 POINTS-example-1
User Ragunathan
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1 Answer

3 votes

Answer:

The answer would be 150 degrees.

Explanation:

When looking at the problem you can see that you have two parallel lines and a transversal. Since the two lines are parallel, this allows alternate interior angles to form, i.e. <A and <B.

Since angle A and B are alternate interior angles, you can now set the two equal to each other.

So, in order to find out what x equals, you have to set the two equations equal to each other.

8x-10=3x+90

Next, solve the new equation.

8x-10=3x+90

Add 10 to both sides.

8x=3x+100

Subtract 3x from both sides.

5x=100

Divide both sides by 5 and you'll get your answer.

x=20

Now that you know what x equals, you can substitute it into the equation for B.

<B= 3(20)+90

60+90= 150

<B=150 degrees

That gives you your answer of <B = 150 degrees.

To check your work you can also substitute x into the equation for <A.

<A= 8(20)-10

160-10= 150

<A=150 degrees.

Therefore, you have just proved that the answer is 150 degrees.

User Leontsev Anton
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