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

Redeem

The figure shows square ABCD, point E on line BC, and point F on line CD. Moreover BE

This topic has 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 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

The figure shows square ABCD, point E on line BC, and point F on line CD. Moreover BE

by Max@Math Revolution » Tue Jun 09, 2020 4:15 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

The figure shows square ABCD, point E on line BC, and point F on line CD. Moreover BE = CF and ∠AEC = 110. What is ∠CBF?
6.9PS.png
A. 20
B. 30
C. 33
D. 40
E. 43
Top
Source: — Problem Solving |
Junior | Next Rank: 30 Posts
Posts: 11
Joined: Sat May 30, 2020 5:24 am

Re: The figure shows square ABCD, point E on line BC, and point F on line CD. Moreover BE

by i256 » Tue Jun 09, 2020 9:48 am
Triangles AEB and BCF are similar triangles, 2 common sides 1 common angles (SAS congruency)

So, angle EBF = BAE = (110 - 90 ) = 20
Top
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Re: The figure shows square ABCD, point E on line BC, and point F on line CD. Moreover BE

by Max@Math Revolution » Thu Jun 11, 2020 12:31 am
=>

Since AB = BC, BE = CF and ∠ABE = ∠BCF = 90, triangles ABE and BCF are congruent.
Then we have ∠BFC = ∠AEB = 180° – 110° = 70°.
We have ∠CBF = 180° – (70° + 90°) = 20°.

Therefore, the answer is A.
Answer: A
Top
Post new topic Post Reply
• Page 1 of 1