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LenKa [72]
3 years ago
15

The difference between two same-side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

Answer:

The measures of the angles would be 107.5 and 72.5.

Step-by-step explanation:

The angles should up to 180 degrees.

You can make two equations to solve it:

x+y=180

x-y=35

You add both of the equations.

2x = 215

X = 107.5

Y = 72.5

Leona [35]3 years ago
4 0

Answer:

angle 1:    72.5°

angle 2:   107.5°

Step-by-step explanation:

x + y = 180

x - y = 35         ===>      x = 35 + y

Substitution to find angle y:

  x + y = 180

  (35 + y) + y = 180

  35 + 2y = 180

  2y = 145

  y = 72.5

Substitution to find angle x:

  x = 35 + y

  x = 35 + (72.5)

  x = 107.5

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Answer:

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Step-by-step explanation:

First, we determine the area of the parallelogram shaped parking space.

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4 years ago
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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
PLEASE HELP WILL MARK BRAINLIEST!
Kruka [31]

Answer:

Firstly, from the diagram we are given that the length of XB is congruent to BZ, and YC is congruent to CZ. Based on this information, we know that B is the midpoint of XZ, and C is the midpoint of YZ. This means that BC connects the midpoints of segments XZ and YZ. Now that we know this, we can use the Triangle Midsegment Theorem to calculate the length of BC. This theorem states that if a segment connects the midpoints of two sides of a triangle, then the segment is equal to one-half the length of the third side. In this scenario, the third side would be XY, which has a length of 12 units. Therefore, the length of BC = 1/2(XY), and we can substitute the value of XY and solve this equation:

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Step-by-step explanation:

Please support my answer.

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