BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If a = 100, what is the value of c?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

If a = 100, what is the value of c?

by Brent@GMATPrepNow » Tue May 15, 2018 6:10 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Image

If a = 100, what is the value of c?

(1) b = 30
(2) f = 50

Answer: D
Source: www.gmatprepnow.com
Difficulty level: 500-550
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Source: — Problem Solving |
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

by Vincen » Wed May 16, 2018 12:51 am
Hello.

We know that a=100º.
(1) b = 30
Since

b+a+f=180º

then we have

30º+100º+f=180º -------------> f=50º.

Since f and c are opposite angles by the vertex then f=c=50º. SUFFICIENT.
(2) f = 50
Again, since f and c are opposite angles by the vertex then f=c=50º. SUFFICIENT.

Therefore, the correct answer is the option D.
Top
Post new topic Post Reply
• Page 1 of 1