GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In the following figure, what is the measure of x?
[#permalink]
03 Aug 2020, 00:55
03 Aug 2020, 00:55
00:00
Question Stats:
94% (00:44) correct
5% (02:42) wrong based on 18 sessions
Hide Show timer Statistics
In the following figure, what is the measure of x?
A. 30
B. 45
C. 60
D. 75
E. 90
Quant Sec 7
ID: Q02-10
A. 30
B. 45
C. 60
D. 75
E. 90
Quant Sec 7
ID: Q02-10
Attachments
Geometry1.jpg [ 15.79 KiB | Viewed 1489 times ]
Re: In the following figure, what is the measure of x?
[#permalink]
03 Aug 2020, 04:09
03 Aug 2020, 04:09
The triangle to the left with all sides 5 is an equilateral triangle will have all angles 60.
The triangle to the right is a right triangle which satisfies the Pythagorean theorem and since the two sides are 5 the opp. angles are equal, making them 45 degrees each.
The third triangle in the centre (with no measurements of the sides) will have angles 45, 60 and x (applying the property that when two lines intersect the pair opp. angles are equal)
Therefore, x + 45 + 60 = 180. So, x= 75.
The triangle to the right is a right triangle which satisfies the Pythagorean theorem and since the two sides are 5 the opp. angles are equal, making them 45 degrees each.
The third triangle in the centre (with no measurements of the sides) will have angles 45, 60 and x (applying the property that when two lines intersect the pair opp. angles are equal)
Therefore, x + 45 + 60 = 180. So, x= 75.
Re: In the following figure, what is the measure of x?
[#permalink]
03 Aug 2020, 05:22
03 Aug 2020, 05:22
Aaka wrote:
The triangle to the left with all sides 5 is an equilateral triangle will have all angles 60.
The triangle to the right is a right triangle which satisfies the Pythagorean theorem and since the two sides are 5 the opp. angles are equal, making them 45 degrees each.
The third triangle in the centre (with no measurements of the sides) will have angles 45, 60 and x (applying the property that when two lines intersect the pair opp. angles are equal)
Therefore, x + 45 + 60 = 180. So, x= 75.
The triangle to the right is a right triangle which satisfies the Pythagorean theorem and since the two sides are 5 the opp. angles are equal, making them 45 degrees each.
The third triangle in the centre (with no measurements of the sides) will have angles 45, 60 and x (applying the property that when two lines intersect the pair opp. angles are equal)
Therefore, x + 45 + 60 = 180. So, x= 75.
Hi,
Thank you very much for the explanation. If possible for you, kindly explain with picture or if someone else can do that.
