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Considering each choice separately, having values for
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05 Aug 2017, 02:02
05 Aug 2017, 02:02
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43% (02:04) correct
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#GREpracticequestion which of the following variables or pairs of variables would be sufficient to determine the measure of.jpg [ 20.64 KiB | Viewed 9378 times ]
Considering each choice separately, having values for which of the following variables or pairs of variables would be sufficient to determine the measure of angle a? It is given that lines m and n are parallel lines.
Indicate all such values.
❑ b
❑ c
❑ d
❑ b and c
❑ c and e
❑ b and f
❑ c and f
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Official Answer
C,D,E,F
Re: Considering each choice separately, having values for
[#permalink]
24 Sep 2017, 07:13
24 Sep 2017, 07:13
1
Let's analyze the answers one by one:
a) b°: b alone is not enough to compute a unless we know c
b) c°: same reason as above, we need b too
c) d°: d is enough because lines m and n are parallel and thus d is equal to the supplementary angle of a so that a can be found as 180-d°
d) b° and c°: as we anticipate above, b and c together are enough to compute a since a is supplementary to the third angle of the triangle with b and c that can be found as 180°-b°-c°
e) c° and e°: they are enough too because e is supplementary to b so it is as we have b and c so as above they are enough
f) b° and f°: thanks to parallelism, f is supplementary to angle c so we are still in the b and c case so that they are enough to compute a
g) c° and f°: they are not enough since f is not of help in computing b.
To sum up the answers are C,D,E,F
a) b°: b alone is not enough to compute a unless we know c
b) c°: same reason as above, we need b too
c) d°: d is enough because lines m and n are parallel and thus d is equal to the supplementary angle of a so that a can be found as 180-d°
d) b° and c°: as we anticipate above, b and c together are enough to compute a since a is supplementary to the third angle of the triangle with b and c that can be found as 180°-b°-c°
e) c° and e°: they are enough too because e is supplementary to b so it is as we have b and c so as above they are enough
f) b° and f°: thanks to parallelism, f is supplementary to angle c so we are still in the b and c case so that they are enough to compute a
g) c° and f°: they are not enough since f is not of help in computing b.
To sum up the answers are C,D,E,F
