GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Aug 2019, 20:31

Close

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
Your Progress

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

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

Close

Request Expert Reply

Confirm Cancel

In triangle ABC, AB=AC and the measure of angle A is twice the measure

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57155
In triangle ABC, AB=AC and the measure of angle A is twice the measure  [#permalink]

Show Tags

New post 07 Aug 2019, 02:19
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

84% (01:12) correct 16% (01:28) wrong based on 49 sessions

HideShow timer Statistics

Manager
Manager
avatar
G
Joined: 18 May 2019
Posts: 154
GMAT ToolKit User Premium Member
Re: In triangle ABC, AB=AC and the measure of angle A is twice the measure  [#permalink]

Show Tags

New post 07 Aug 2019, 03:04
We know that triangle ABC has AB=AC implying triangle ABC is an isosceles triangle. This means angle at edge B equals angle at edge C. We also know from the question that angle at edge A is two times angle at edge B. Let x be the angle at edge A. Then angle at edge B and C=x/2
We can therefore write this equation for the angles: x+x/2 + x/2=180
2x=180
x=90.
x/2=B=C=45
The exterior angle at C = 180-45=135

The answer is therefore B.

Posted from my mobile device
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4491
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: In triangle ABC, AB=AC and the measure of angle A is twice the measure  [#permalink]

Show Tags

New post 08 Aug 2019, 12:27
Bunuel wrote:
In triangle ABC, AB=AC and the measure of angle A is twice the measure of angle B. Find the number of degrees in the measures of the exterior angle at C.

(A) 145 degrees
(B) 135 degrees
(C) 125 degrees
(D) 95 degrees
(E) 45 degrees


angle b=c = 2x+x+x=180 ; x =45
so exterior angle of c ; 180-45 ; 135
IMO b
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7412
Location: United States (CA)
Re: In triangle ABC, AB=AC and the measure of angle A is twice the measure  [#permalink]

Show Tags

New post 12 Aug 2019, 11:58
1
Bunuel wrote:
In triangle ABC, AB=AC and the measure of angle A is twice the measure of angle B. Find the number of degrees in the measures of the exterior angle at C.

(A) 145 degrees
(B) 135 degrees
(C) 125 degrees
(D) 95 degrees
(E) 45 degrees


Since AB = AC, triangle ABC is an isosceles triangle with base angles at B and C and vertex angle at A. Since the base angles of an isosceles triangle are equal in measure, we can let angle B = angle C = x, and thus angle A = 2x. Since the three angles of a triangle sum to 180, we can create the equation:

x + x + 2x = 180

4x = 180

x = 45

Thus, angle C = 45 and the exterior angle at C is 180 - 45 = 135.

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: In triangle ABC, AB=AC and the measure of angle A is twice the measure   [#permalink] 12 Aug 2019, 11:58
Display posts from previous: Sort by

In triangle ABC, AB=AC and the measure of angle A is twice the measure

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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