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ycow [4]
3 years ago
5

The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the pa

rallel lines and transversal. Sorry! Would appreciate if you give the answer by Tuesday! Thanks
Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

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Step-by-step explanation:

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3 years ago
Half the sum of 4 consecutive integers is 53 what are the integers?
Sphinxa [80]

Answer:

25,26,27, and 28

Step-by-step explanation:

Write consecutive integers as x,x+1,x+2,x+3,x+4, and so forth.

x+x+1+x+2+x+3

----------------------       =   53

          2

1) Combine alike terms:

4x+6

-------   =    53

  2

2) Multiply both sides by 2:

4x+6=106

3) Subtract 6 from both sides:

4x=100

4) Divide both sides by 4:

x=25

5) Plug in 25 for x for all 4 integers:

25

26

27

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3 years ago
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∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

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3 years ago
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