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Alex_Xolod [135]
3 years ago
11

Short Response 16. Parallel lines p and q are cut by transversal t to form angles 1-8. If 22 and 27 are alter- nate exterior ang

les, 27 and 26 are vertical angles, and 26 and 24 are consecutive interior angles, what can you conclude about the relationship between the angle measures of 22 and 24? Explain.
I don’t understand how to solve this, please help!!​
Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.

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Yanka [14]

Answer:

y = 11

Step-by-step explanation:

We use the definition of Supplementary Angles and Adjacent Angles.

Step 1: Set up equation 1 (Definition of Supplementary Angles)

5x - 4 +7x - 8 = 180

Step 2: Solve for <em>x</em>

12x - 4 - 8 = 180

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x = 16

Step 3: Plug in <em>x</em>

5(16) - 4

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Step-by-step explanation:

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3 years ago
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Mazyrski [523]

Answer:

a. 14

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a. First we must add all the animals together,

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Therefore our equation is:

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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3 years ago
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Answer:

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The answer is:

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