It is currently 15 Nov 2018, 13:15

### GMAT 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

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

Practice
Pays

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

# GRE Math Challenge #82-The measures of two angles

Author Message
TAGS:
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

GRE Math Challenge #82-The measures of two angles [#permalink]  09 May 2015, 10:24
Expert's post
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Joined: 22 Aug 2016
Posts: 32
Followers: 0

Kudos [?]: 9 [0], given: 5

Re: GRE Math Challenge #82-The measures of two angles [#permalink]  21 Mar 2017, 13:18
How to solve this question?

Thanks
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

Re: GRE Math Challenge #82-The measures of two angles [#permalink]  21 Mar 2017, 16:21
Expert's post
Explanation

A parallelogram has two angles as seen in image below.

Now we know from the question = $$\angle A - \angle B = 52$$.

And $$\angle A + \angle B + \angle A + \angle B =360$$

Since sum of angles in a quadrilateral. is 360.

$$2 \times (\angle A + \angle B) = 360$$

or $$\angle A + \angle B = 180$$.

Solving for values of $$\angle A$$ and $$\angle B$$.

$$\angle A = 116$$ and $$\angle B = 64$$.

Hence C is correct

[Reveal] Spoiler: image
Attachment:

quadrilateral-parallelogram.gif [ 1.79 KiB | Viewed 1109 times ]

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: GRE Math Challenge #82-The measures of two angles   [#permalink] 21 Mar 2017, 16:21
Display posts from previous: Sort by