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In the above figure, l and L are parallel. m = 150 and n
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21 May 2019, 01:55
21 May 2019, 01:55
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In the above figure, \(\ell\)\(_1\) and \(\ell\)\(_2\) are parallel. m = 150 and n = 120.
Quantity A |
Quantity B |
The length of \(AB\) |
The length of \(AC\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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Re: In the above figure, l and L are parallel. m = 150 and n
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21 May 2019, 10:10
21 May 2019, 10:10
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In the above figure, \(\ell\)\(_1\) and \(\ell\)\(_2\) are parallel. m = 150 and n = 120.
Quantity A |
Quantity B |
The length of \(AB\) |
The length of \(AC\) |
With geometry problems first identify all known values for the figure.
In this case, we know that because of the rules of parallel lines cut by a transversal that angle B = angle m = 150.
We also know that because of opposite angles that angle C = angle n = 120.
Then, according to the sum of degrees on a line that the interior angle of the triangle adjacent to angle C = 180 - 120 = 60 and that the interior angle of the triangle adjacent to angle B = 180 - 150 = 30.
Finally, due to the proportionality of triangles, we know that the side opposing a larger angle is larger itself. Therefore, length AB which opposes the 60 degree angle C > length BC which opposes the 30 degree angle B. Select Choice A.
Re: In the above figure, l and L are parallel. m = 150 and n
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31 Mar 2021, 05:42
31 Mar 2021, 05:42
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