GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 23 Oct 2019, 14:28

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Lines X, Y, and Z intersect to form a triangle. If line X is perpendic

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58464
Lines X, Y, and Z intersect to form a triangle. If line X is perpendic  [#permalink]

### Show Tags

25 Feb 2019, 02:38
00:00

Difficulty:

5% (low)

Question Stats:

100% (00:40) correct 0% (00:00) wrong based on 28 sessions

### HideShow timer Statistics

Lines X, Y, and Z intersect to form a triangle. If line X is perpendicular to line Y and line X forms a 30-degree angle with line Z, which of the following is the degree measure of the angle formed by the intersection of lines Y and Z?

A. 20°
B. 30°
C. 45°
D. 50°
E. 60°

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5043
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Lines X, Y, and Z intersect to form a triangle. If line X is perpendic  [#permalink]

### Show Tags

25 Feb 2019, 04:41
Bunuel wrote:
Lines X, Y, and Z intersect to form a triangle. If line X is perpendicular to line Y and line X forms a 30-degree angle with line Z, which of the following is the degree measure of the angle formed by the intersection of lines Y and Z?

A. 20°
B. 30°
C. 45°
D. 50°
E. 60°

since line y & x are perpendicular so angle 90
angle y & z will be 180-30-90 ; 60
IMO E
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3092
Re: Lines X, Y, and Z intersect to form a triangle. If line X is perpendic  [#permalink]

### Show Tags

25 Feb 2019, 22:48
1

Solution

Given:
• Lines X, Y, and Z intersect to form a rectangle.
• Line X is perpendicular to line Y.
• Line X forms a 30° angle with line Z.

To find:
• The degree measure of the angle formed by the intersection of lines Y and Z

Approach and Working:
As the intersection of lines X, Y, and Z forms a triangle, the 3 angles created by their intersection must sum up to 180°.

Therefore, we can say
• 90° + 30° + angle between lines Y and Z = 180°
Or, angle between lines Y and Z = 180° - 120° = 60°

Hence, the correct answer is option E.

_________________
Re: Lines X, Y, and Z intersect to form a triangle. If line X is perpendic   [#permalink] 25 Feb 2019, 22:48
Display posts from previous: Sort by