It is currently 18 Jan 2020, 09:42

### 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

# In the figure, if ∠A = ∠C, then x =

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 9336
Followers: 193

Kudos [?]: 2268 [0], given: 8822

In the figure, if ∠A = ∠C, then x = [#permalink]  12 Mar 2019, 10:33
Expert's post
00:00

Question Stats:

87% (01:14) correct 12% (01:58) wrong based on 16 sessions
Attachment:

#GREpracticequestion In the figure, if.jpg [ 32.83 KiB | Viewed 2153 times ]

In the figure, if $$∠A = ∠C$$, then $$x =$$

(A) 30

(B) 60

(C) 90

(D) 150

(E) 180
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

GRE Instructor
Joined: 10 Apr 2015
Posts: 2672
Followers: 101

Kudos [?]: 2954 [0], given: 45

Re: In the figure, if ∠A = ∠C, then x = [#permalink]  13 Mar 2019, 08:54
Expert's post
Carcass wrote:
Attachment:
#GREpracticequestion In the figure, if.jpg

In the figure, if $$∠A = ∠C$$, then $$x =$$

(A) 30

(B) 60

(C) 90

(D) 150

(E) 180

Since ∠A = ∠C, we k know that ∠C = y°/2.
Add this information to the diagram...

Since angles in a triangle add to 180°...

... we can write: y°/2 + y°/2 + x° = 180°
Simplify to get: y° + x° = 180°

Since OPPOSITE angles are EQUAL,...

... we know that y° = x°

We can now take y° + x° = 180° and replace y° with x° to get: x° + x° = 180°
Simplify: 2x° = 180°
Solve: x = 90

RELATED VIDEO FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com
Sign up for my free GRE Question of the Day emails

Intern
Joined: 02 Sep 2019
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 1

Re: In the figure, if ∠A = ∠C, then x = [#permalink]  08 Sep 2019, 00:31
90
Re: In the figure, if ∠A = ∠C, then x =   [#permalink] 08 Sep 2019, 00:31
Display posts from previous: Sort by

# In the figure, if ∠A = ∠C, then x =

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.