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The measure of 1 is 100°.

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Carcass
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The measure of 1 is 100°. [#permalink] New post   01 Aug 2022, 00:38
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The measure of ∠1 is 100°.


Quantity A
Quantity B
the measure of ∠8
75°



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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A
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SeaOyster1
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Re: The measure of 1 is 100°. [#permalink] New post   02 Aug 2022, 08:33
2
Solution -

When any two parallel lines are intersected by a line (known as the transversal), the angles that are subsequently formed, have a relationship.

Attachment:
Screenshot 2022-08-02 at 9.54.30 PM.png
Screenshot 2022-08-02 at 9.54.30 PM.png [ 608.68 KiB | Viewed 2403 times ]


From this particular figure, <1 + <2 = 180 degree ( Angles on a straight line add up to 180 degree)
Also, <2 = <6 = 80 degrees (Corresponding Angles are equal)
Lastly, <6 = <8 = 80 degrees (Vertically Opposite Angles are equal)

Therefore, Quantity A is 80 degrees and Quantity B is 75 degrees.

So, Quantity A is greater than Quantity B.

Hence, the correct answer choice is option A.
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LMoc
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Re: The measure of 1 is 100°. [#permalink] New post   25 Aug 2022, 10:52
when did it stated that those lines were parallel?
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Re: The measure of 1 is 100°. [#permalink] New post   25 Aug 2022, 11:22
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LMoc wrote:
when did it stated that those lines were parallel?


When you see the caption "the diagram DO NOT draw the scale," then they could or not be parallel.

Nothing is stated, therefore, they are parallel as you can see in the diagram
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Re: The measure of 1 is 100°. [#permalink] New post   24 Sep 2022, 13:21
Carcass wrote:
LMoc wrote:
when did it stated that those lines were parallel?


When you see the caption "the diagram DO NOT draw the scale," then they could or not be parallel.

Nothing is stated, therefore, they are parallel as you can see in the diagram


Since they could or could not be parallel, isn't the "relationship cannot be determined" option more suitable?

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Re: The measure of 1 is 100°. [#permalink] New post   24 Sep 2022, 21:36
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saddhesh wrote:
Carcass wrote:
LMoc wrote:
when did it stated that those lines were parallel?


When you see the caption "the diagram DO NOT draw the scale," then they could or not be parallel.

Nothing is stated, therefore, they are parallel as you can see in the diagram


Since they could or could not be parallel, isn't the "relationship cannot be determined" option more suitable?

Posted from my mobile device


see the explanation above. Having the angles the most logic inference is that we can draw a conclusion. D is never an option in this cases, regardless
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Re: The measure of 1 is 100°. [#permalink]
24 Sep 2022, 21:36
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