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11 May 2022, 07:30
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Difficulty:
45%
(medium)
Question Stats:
61% (01:43) correct
39%
(01:28)
wrong
based on 33
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In the figure above, what is the value of x?
(1) y = 130
(2) z = 100
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12 May 2022, 20:57
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In the figure above, what is the value of x?
(1) y = 130
(2) z = 100
Evaluating statement (1) alone: This tells us that the "slices" to the bottom right and to the top left have angles of 50 degrees because they form supplementary angles with angle y. But the line that runs from the bottom left corner to the upper right corner of the diagram is not fixed in place. You can imagine rotating it around, which would change the value of x as you did. So we don't know the value of x. Does statement (1) alone give us enough information to answer the question? No. BCE.
Evaluating statement (2) alone: Imagine the two lines that make the big X in the diagram fixed in place. Could we rotate the line that is currently vertical without impacting angle z? Yes, and that would change the value of x as we did. So we don't know the value of x. Does statement (2) alone give us enough information to answer the question? No. CE
Evaluating (1) and (2) together: From (1), we know that the slice to the top left has an angle of 50 degrees. And from (2), we know that the angles in the top left and the top right add to 100, so the angle in the top right must be 50. The angle in the top right is an opposite/vertical angle to angle x, so angle x must also be 50 degrees. Do statements (1) and (2) together give us enough information to answer the question? Yes. C
Answer choice C.
(1) y = 130
(2) z = 100
Evaluating statement (1) alone: This tells us that the "slices" to the bottom right and to the top left have angles of 50 degrees because they form supplementary angles with angle y. But the line that runs from the bottom left corner to the upper right corner of the diagram is not fixed in place. You can imagine rotating it around, which would change the value of x as you did. So we don't know the value of x. Does statement (1) alone give us enough information to answer the question? No. BCE.
Evaluating statement (2) alone: Imagine the two lines that make the big X in the diagram fixed in place. Could we rotate the line that is currently vertical without impacting angle z? Yes, and that would change the value of x as we did. So we don't know the value of x. Does statement (2) alone give us enough information to answer the question? No. CE
Evaluating (1) and (2) together: From (1), we know that the slice to the top left has an angle of 50 degrees. And from (2), we know that the angles in the top left and the top right add to 100, so the angle in the top right must be 50. The angle in the top right is an opposite/vertical angle to angle x, so angle x must also be 50 degrees. Do statements (1) and (2) together give us enough information to answer the question? Yes. C
Answer choice C.
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