Last visit was: 18 Dec 2024, 08:51 It is currently 18 Dec 2024, 08:51

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
User avatar
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11257 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
avatar
Intern
Intern
Joined: 22 Aug 2016
Posts: 33
Own Kudos [?]: 80 [0]
Given Kudos: 0
Send PM
User avatar
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11257 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30355
Own Kudos [?]: 36751 [0]
Given Kudos: 26080
Send PM
Re: The measures of two angles of a parallelogram differ by 52 d [#permalink]
Expert Reply
Bump for further discussion
Manager
Manager
Joined: 15 May 2021
Posts: 59
Own Kudos [?]: 35 [0]
Given Kudos: 92
Send PM
Re: The measures of two angles of a parallelogram differ by 52 d [#permalink]
sandy wrote:
The measures of two angles of a parallelogram differ by 52 degrees. The number of degrees in the smaller angle is

(A) 38
(B) 52
(C) 64
(D) 76
(E) 128


Kudos for the right answer and explanation


Opposites angle of a parallelogram is equal. And in the same side angles make 180 degrees total. So if you are getting two equations, one is for the addition of two angles = 180 and subtraction of two angles = 52. Now if you solve, you will get the smaller angle of 64 degrees.
Intern
Intern
Joined: 25 Jun 2022
Posts: 17
Own Kudos [?]: 8 [1]
Given Kudos: 3
Send PM
Re: The measures of two angles of a parallelogram differ by 52 d [#permalink]
1
Since we are concerned with a smaller angle, it would be fine to solve for it only.

Let x= smaller angle & (x + 52) = larger angle [because the question states that two angles differ by 52]

2x + 2(x + 52) = 360
2x + 2x + 104 = 360
4x + 104 = 360
4x = 256
x = 64
Prep Club for GRE Bot
Re: The measures of two angles of a parallelogram differ by 52 d [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne