GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In the figure above, what is the sum of x and y in terms of
[#permalink]
06 May 2020, 15:14
06 May 2020, 15:14
Expert Reply
5
Bookmarks
00:00
Question Stats:
75% (02:07) correct
24% (02:57) wrong based on 53 sessions
Hide Show timer Statistics
Attachment:
#greprepclub In the figure above, what is the sum of x and y in terms of z.jpg [ 23.48 KiB | Viewed 4519 times ]
In the figure above, what is the sum of x and y in terms of z ?
A. \(z + 90\)
B. \(\frac{z}{2}+90\)
C. \(180-2z\)
D. \(180-\frac{z}{2}\)
E. \(z+180\)
Re: In the figure above, what is the sum of x and y in terms of
[#permalink]
06 May 2020, 17:01
06 May 2020, 17:01
1
1
1
Bookmarks
As mentioned in the fig.
From triangle MNP; angle a = 180-(x+y)
from triangle PNQ; angle b = 180-(x+y)
On a straigth line MNO; angle a + angle b + angle z = 180
180-(x+y) + 180-(x+y) + z = 180
z + 180 = 2(x+y)
z/2 + 90 = x+y
From triangle MNP; angle a = 180-(x+y)
from triangle PNQ; angle b = 180-(x+y)
On a straigth line MNO; angle a + angle b + angle z = 180
180-(x+y) + 180-(x+y) + z = 180
z + 180 = 2(x+y)
z/2 + 90 = x+y
Attachments
#what is the sum of x and y in terms of z.jpg [ 17.57 KiB | Viewed 4427 times ]
Re: In the figure above, what is the sum of x and y in terms of
[#permalink]
08 May 2020, 07:32
08 May 2020, 07:32
2
Let angle PNQ= a
then we can say a+ z= angle NPM + angle MNP= x+y(ext angle property of triangle)
therefore a+z=x+y...............................(i)
now in triangle PNQ
a= 180-x-y(angle sum property of triangle )......................(ii)
therefore
180-x-y + z = x+y from i and ii
x+y= 90+z/2
B
then we can say a+ z= angle NPM + angle MNP= x+y(ext angle property of triangle)
therefore a+z=x+y...............................(i)
now in triangle PNQ
a= 180-x-y(angle sum property of triangle )......................(ii)
therefore
180-x-y + z = x+y from i and ii
x+y= 90+z/2
B
