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

 It is currently 15 Oct 2019, 14:46

### 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

# In an isosceles triangle PQR, if the measure of angle P is 80°, which

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58340
In an isosceles triangle PQR, if the measure of angle P is 80°, which  [#permalink]

### Show Tags

04 Oct 2018, 02:37
00:00

Difficulty:

25% (medium)

Question Stats:

64% (00:55) correct 36% (01:00) wrong based on 56 sessions

### HideShow timer Statistics

In an isosceles triangle PQR, if the measure of angle P is 80°, which of the following could be the measure of angle R ?

I. 20°
II. 50°
III. 80°

(A) Only I
(B) Only III
(C) Only I and II
(D) Only II and III
(E) I, II and III

_________________
Manager
Joined: 17 Mar 2018
Posts: 70
Re: In an isosceles triangle PQR, if the measure of angle P is 80°, which  [#permalink]

### Show Tags

04 Oct 2018, 03:07
E
If angle Q= 80, then R=20
If angle Q= 20, then R= 80
If angle P is the largest angle, then Angle Q and angle R= 50 .
So all 3 choices are possible for Angle R.
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4002
Re: In an isosceles triangle PQR, if the measure of angle P is 80°, which  [#permalink]

### Show Tags

04 Oct 2018, 08:52
Top Contributor
Bunuel wrote:
In an isosceles triangle PQR, if the measure of angle P is 80°, which of the following could be the measure of angle R ?

I. 20°
II. 50°
III. 80°

(A) Only I
(B) Only III
(C) Only I and II
(D) Only II and III
(E) I, II and III

An isosceles triangle has two equal angles .
So, there are two possible cases here:

case i) 80° is one of the duplicate angles, in which case there are two angles measuring 80° and the other angle is 20°
So, I and III are possible

case ii) 80° is NOT one of the duplicate angles, in which case one angle is 80° and the other two (duplicate) angles are each 50°
So, II is possible

RELATED VIDEO FROM OUR COURSE

_________________
Test confidently with gmatprepnow.com
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8048
Location: United States (CA)
Re: In an isosceles triangle PQR, if the measure of angle P is 80°, which  [#permalink]

### Show Tags

07 Oct 2018, 19:25
Bunuel wrote:
In an isosceles triangle PQR, if the measure of angle P is 80°, which of the following could be the measure of angle R ?

I. 20°
II. 50°
III. 80°

(A) Only I
(B) Only III
(C) Only I and II
(D) Only II and III
(E) I, II and III

Since triangle PQR is isosceles, angles P and R could be 80 degrees, and angle Q could be 20 degrees.

On the other hand, if angles Q and P were each 80 degrees, then angle R would be 180 - 2(80) = 20.

Furthermore, angle P could be the vertex angle of 80 degrees, and angle R could be one of the base angles. If that were the case, then angle R would be (180 - 80)/2 = 50.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: In an isosceles triangle PQR, if the measure of angle P is 80°, which   [#permalink] 07 Oct 2018, 19:25
Display posts from previous: Sort by