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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

The figure shows that AB is parallel to FE. What is ∠ ABC

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times
by Max@Math Revolution » Sun Nov 10, 2019 11:05 pm
[GMAT math practice question]

The figure shows that AB is parallel to FE. What is ∠ ABC + ∠ BCD + ∠ CDE + ∠ DEF?

Image

A. 380
B. 440
C. 540
D. 600
E. 720
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times

by Max@Math Revolution » Tue Nov 12, 2019 11:19 pm
Draw two lines GK and HO parallel to AB and FE as follows.

Image

Then we have ∠ ABC + ∠ BCG = 180°, ∠ GCD + ∠ CDH = 180°, ∠ HDE + ∠ DEF = 180°, and the pairs of two angles are supplementary, respectively.
∠ ABC + ∠ BCD + ∠ CDE + ∠ DEF = ∠ ABC + (∠ BCG + ∠ GCD) + (∠ CDH + ∠ HDE) + ∠ DEF = (∠ ABC + ∠ BCG) + (∠ GCD + ∠ CDH) + (∠ HDE + ∠ DEF) = 180° + 180° + 180° = 540°,

Therefore, C is the answer.
Answer: C
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1