Find all School-related info fast with the new School-Specific MBA Forum

It is currently 25 May 2013, 01:52
Customize  |  Hide

In a triangle, ABC, AD bisects angle BAC and AD = DC. If

  Question banks Downloads My Bookmarks Reviews  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 19 Nov 2004
Posts: 288
Location: Germany
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
In a triangle, ABC, AD bisects angle BAC and AD = DC. If [#permalink] New post 12 Mar 2005, 09:06
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
In a triangle, ABC, AD bisects angle BAC and AD = DC. If angle BDA = 75 degress, angle ACD measure (in degrees)

a) 37.5
b) 67.5
c) 70.5
d) 72.5
e) 73

Please post your explaination as well.
Manager
Manager
Joined: 17 Dec 2004
Posts: 74
Followers: 1

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

 [#permalink] New post 16 Mar 2005, 22:29
A - 37.5

Since AD = DC, we know that ADC is an isoceles triangle and that angle DAC = DCA.

Also, since we know that BDA = 75 degrees, CDA = 105 degrees.

Since all triangles must equal 180 degrees, it follows that DAC + DCA = 75 degrees, or DAC = DCA = 37.5 degrees.
Intern
Intern
User avatar
Joined: 30 Jan 2005
Posts: 39
Location: INDIA
Followers: 0

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

Answer [#permalink] New post 18 Mar 2005, 03:36
A
1. Since Sides are equal so the angles will be equal. <DAC = <ACD
2. Sum of opposite angles equals to the exterior angle.

:-D
Answer   [#permalink] 18 Mar 2005, 03:36
    Similar topics Author Replies Last post
Similar
Topics:
New posts Ads ashkrs 1 02 Sep 2007, 08:13
New posts Is triangle ABC a right triangle? 1. Angle ABC = angle BCA arjtryarjtry 2 28 Aug 2008, 20:23
Popular new posts 1 What is the area of a triangle ABC in which angle BAC = 35 RockyBalboa 18 06 Jul 2009, 17:10
New posts EXPERTS_POSTS_IN_THIS_TOPIC Is the triangle ABC, right angled at B? Smita04 1 09 Feb 2012, 18:40
Popular new posts 2 Is AD the bisector of angle A in triangle ABC? vibhav 14 21 May 2012, 10:36
Display posts from previous: Sort by

In a triangle, ABC, AD bisects angle BAC and AD = DC. If

  Question banks Downloads My Bookmarks Reviews  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.