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

 It is currently 21 Jun 2018, 10:40

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The triangle in the figure above has two sides extended as shown. What

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46264
The triangle in the figure above has two sides extended as shown. What [#permalink]

### Show Tags

09 Aug 2017, 04:41
00:00

Difficulty:

25% (medium)

Question Stats:

87% (00:23) correct 13% (00:44) wrong based on 37 sessions

### HideShow timer Statistics

The triangle in the figure above has two sides extended as shown. What is the value of x?

(A) 38
(B) 78
(C) 102
(D) 106
(E) 116

Attachment:

2017-08-09_1259.png [ 4.57 KiB | Viewed 741 times ]

_________________
Manager
Joined: 23 Jul 2015
Posts: 163
Re: The triangle in the figure above has two sides extended as shown. What [#permalink]

### Show Tags

09 Aug 2017, 08:44
angle adjacent to $$\angle x = 180- x$$ ... (i)

External angle of a triangle = sum of angles on opposite side -->

$$142 = (180-x) + 64$$

solving for x, x = 102 (Choice C)
BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2831
Location: India
GPA: 3.12
Re: The triangle in the figure above has two sides extended as shown. What [#permalink]

### Show Tags

09 Aug 2017, 09:13

Since the sum of angles in a straight line is 180,
the angle inside the triangle adjacent to 142 degree is 38 degree.
Also, the third angle in the triangle is 180 - x

180 - x + 38 + 64 = 180(Sum of angles in a triangle is 180 degree)
38 + 64 = 180 - 180 + x
x = 38 + 64 = 102(Option C)
_________________

You've got what it takes, but it will take everything you've got

BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2642
GRE 1: 323 Q169 V154
Re: The triangle in the figure above has two sides extended as shown. What [#permalink]

### Show Tags

09 Aug 2017, 15:30
Re: The triangle in the figure above has two sides extended as shown. What   [#permalink] 09 Aug 2017, 15:30
Display posts from previous: Sort by