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stepan [7]
2 years ago
8

In the diagram below, AB is parallel to CD. what is the value of x?

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
6 0

Answer:

C. 150

Step-by-step explanation:

The given angle and angle x are supplementary. This means that when added together they add to 180. So, to solve you can set up an algebraic equation like 180=x+30. Then, subtract 30 from both sides to get 150=x.

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Please help me, the attachment is below. (If you don't know the answer to the question please don't answer, thank you.)
Liono4ka [1.6K]

Answer:

See Below.

Step-by-step explanation:

Paragraph Proof:

We are given that ∠1 ≅ ∠4. ∠1 and ∠4 are alternate exterior angles. Since they are congruent, by the Alternate Exterior Angles Converse, the two lines being cut by the transversal must be parallel. Then by the Alternate Interior Angles Theorem, ∠3 ≅ ∠2.

2-Column Proof

 Statements                                               Reasons:

1) \angle 1\cong \angle 4                                                    Given

2) \text{The two lines are parallel}                        Alternate Exterior Angles Converse

3) \angle 3\cong \angle 2                                                  Alternate Interior Angles Theorem

I would write a flowchart as well, but unfortunately, I never learned it that way.

8 0
3 years ago
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