UPSC Exam > UPSC Questions > If an angle of a parallelogram is two third o...
Start Learning for Free
If an angle of a parallelogram is two third of its adjacent angle
find the angles of a parallelogram?
find the angles of a parallelogram?
Most Upvoted Answer
If an angle of a parallelogram is two third of its adjacent angle find...
Angles of a Parallelogram
To find the angles of a parallelogram when one angle is two-thirds of its adjacent angle, we can follow these steps:
Step 1: Define the problem
Let the two adjacent angles of the parallelogram be x and y. Given that one angle is two-thirds of its adjacent angle, we can write the equation as:
x = (2/3)y
Step 2: Understand the properties of a parallelogram
In a parallelogram, opposite angles are equal. Therefore, we can write:
x = y (opposite angles are equal)
Step 3: Solve the equations
From the two equations we have:
x = (2/3)y
x = y
By substituting x = y into the first equation, we get:
y = (2/3)y
Solving for y:
y = (2/3)y
3y = 2y
y = 0
Step 4: Find the angles of the parallelogram
Since y = 0, one of the angles is 0 degrees. The sum of the angles of a parallelogram is 360 degrees. Therefore, the other three angles will add up to 360 degrees. As two opposite angles are equal, the angles of the parallelogram are:
0, 0, 180, 180
Therefore, the angles of the parallelogram are 0, 0, 180, and 180 degrees.
To find the angles of a parallelogram when one angle is two-thirds of its adjacent angle, we can follow these steps:
Step 1: Define the problem
Let the two adjacent angles of the parallelogram be x and y. Given that one angle is two-thirds of its adjacent angle, we can write the equation as:
x = (2/3)y
Step 2: Understand the properties of a parallelogram
In a parallelogram, opposite angles are equal. Therefore, we can write:
x = y (opposite angles are equal)
Step 3: Solve the equations
From the two equations we have:
x = (2/3)y
x = y
By substituting x = y into the first equation, we get:
y = (2/3)y
Solving for y:
y = (2/3)y
3y = 2y
y = 0
Step 4: Find the angles of the parallelogram
Since y = 0, one of the angles is 0 degrees. The sum of the angles of a parallelogram is 360 degrees. Therefore, the other three angles will add up to 360 degrees. As two opposite angles are equal, the angles of the parallelogram are:
0, 0, 180, 180
Therefore, the angles of the parallelogram are 0, 0, 180, and 180 degrees.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram?
Question Description
If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram?.
If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram?.
Solutions for If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? defined & explained in the simplest way possible. Besides giving the explanation of
If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram?, a detailed solution for If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? has been provided alongside types of If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? theory, EduRev gives you an
ample number of questions to practice If an angle of a parallelogram is two third of its adjacent angle find the angles of a parallelogram? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup