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.
Regular pentagon P has all five diagonals drawn. What is th
[#permalink]
26 Oct 2017, 23:39
26 Oct 2017, 23:39
3
Bookmarks
00:00
Question Stats:
55% (01:18) correct
44% (01:06) wrong based on 9 sessions
Hide Show timer Statistics
Regular pentagon P has all five diagonals drawn. What is the angle between two of these diagonals where they meet at a vertex of the pentagon?
(A) 12°
(B) 36°
(C) 54°
(D) 60°
(E) 72°
Kudos for correct solution.
(A) 12°
(B) 36°
(C) 54°
(D) 60°
(E) 72°
Kudos for correct solution.
Re: Regular pentagon P has all five diagonals drawn. What is th
[#permalink]
27 Oct 2017, 04:51
27 Oct 2017, 04:51
1
Let's start from the fact that the sum of interior angles of a regular polygon is always computed as \((n-2)*180°\), where n is the number of sides. Thus, the sum of interior angles of a pentagon is 3*180 = 540°, so that, because it is regular, each of its angles is 108° (540/5).
Then, at a vertex where two diagonals meet, the angle is divided in three equal portions, so that the angle between the two diagonals measures 108/3 = 36°.
Answer B
Then, at a vertex where two diagonals meet, the angle is divided in three equal portions, so that the angle between the two diagonals measures 108/3 = 36°.
Answer B
Re: Regular pentagon P has all five diagonals drawn. What is th
[#permalink]
26 Oct 2022, 06:48
26 Oct 2022, 06:48
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
