Carcass wrote:
In the figure above, QR is parallel to ST. What is the measure of angle x?
A. 35
B. 45
C. 65
D. 70
E. 110
Attachment:
#GREpracticequestion In the figure above, QR is parallel to ST. What is the measure of angle x .jpg [ 12.1 KiB | Viewed 2832 times ]
Here,
IN \(\triangle\) PMN
\(\angle\) PMN = 180 - 115 = 65
\(\angle\) PNM = 180 - y - 25 = 155 -y
\(\angle\) MPN = 180 - y
Since, QR || ST
\(\angle\) PMN =\(\angle\) PST = 65
\(\angle\) PNM = \(\angle\) PTS = 155 - y = xIn \(\triangle\) PST,
Sum of all \(\angle\) is = 180
180 - y + 65 + 155 - y = 180
or y = 110
or x = 155 - 110 = 45
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