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.
Lines q and r in the figure shown are parallel lines cut by
[#permalink]
30 Mar 2020, 11:59
30 Mar 2020, 11:59
Expert Reply
1
Bookmarks
00:00
Question Stats:
96% (00:47) correct
3% (01:47) wrong based on 32 sessions
Hide Show timer Statistics
Attachment:
#greprepclub Lines q and r in the figure shown are parallel lines cut by transversal p.jpg [ 14.37 KiB | Viewed 3517 times ]
Lines q and r in the figure shown are parallel lines cut by transversal p. What is the sum of the measure of angles a, d, f, and g in degrees?
Show: :: OA- degree
360
Re: Lines q and r in the figure shown are parallel lines cut by
[#permalink]
30 Mar 2020, 21:54
30 Mar 2020, 21:54
1
Opposite angles are equal. Thus a=d and f=g, here we can see that d and f are complimentary angles, which sum is equal to 180. Hence, on adding a,d,f,g, the sum must be 360.
Re: Lines q and r in the figure shown are parallel lines cut by
[#permalink]
24 Apr 2020, 07:52
24 Apr 2020, 07:52
1
Here for the given question, we will use the Opposite angles equal property.
we can see that,
a=d and f=g
Also, d and f are complementary angles, which have a sum equal to 180. ( d + f = 180)
Also, a and g are exterior angles with a + g = 180
Thus, (a+g) + (d+f) = 180 + 180 = 360
Hence, on adding a,d,f,g, the sum must be 360.
we can see that,
a=d and f=g
Also, d and f are complementary angles, which have a sum equal to 180. ( d + f = 180)
Also, a and g are exterior angles with a + g = 180
Thus, (a+g) + (d+f) = 180 + 180 = 360
Hence, on adding a,d,f,g, the sum must be 360.
