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

Redeem

The figure shows the rectangle ABCD. What is ∠x - ∠y?

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 the rectangle ABCD. What is ∠x - ∠y?

by Max@Math Revolution » Wed Oct 23, 2019 12:00 am
[GMAT math practice question]

The figure shows the rectangle ABCD. What is ∠ x - ∠ y?

A. 20
B. 17
C. 15
D. 13
E. 12

Image
Top
Source: — Problem Solving |
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

by Max@Math Revolution » Thu Oct 24, 2019 11:47 pm
=>

Image

Since AP, RP and CD are parallel, we have < ABP = < BPR and < DQP = < RPQ. Since < BPQ = < BPR + < RPQ, we have < x = 15° + < y.
So, we have < x - < y = 15°.

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