Class 6 Exam > Class 6 Questions > Pqrs is a parallelogram p = 2y q=3x s= 120° s...
Start Learning for Free
Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms?
Most Upvoted Answer
Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y,...
Given Information:
PQRS is a parallelogram where P = 2y, Q = 3x, and angle S = 120°.
Finding the Value of Y:
To find the value of y, we need to use the properties of a parallelogram.
Property of a Parallelogram:
In a parallelogram, the opposite sides are equal in length and the opposite angles are equal in measure.
Using the given information:
P = 2y
Q = 3x
Angle S = 120°
Since PQRS is a parallelogram, opposite sides PQ and RS are equal.
Therefore, 2y = 3x (PQ = RS)
Given that angle S = 120° and angle R is also 120° (opposite angles in a parallelogram are equal), we can find the value of x.
Since angle S and angle R are supplementary angles in a parallelogram (add up to 180°), we have:
angle R = 180° - angle S = 180° - 120° = 60°
Now, we have angle R = 60° and angle Q = 120° (opposite angles in a parallelogram are equal).
Thus, 3x = 60°, which gives us x = 20°.
Substitute the value of x back into 2y = 3x to find y:
2y = 3(20)
2y = 60
y = 30
Therefore, the value of y in the parallelogram PQRS is 30.
PQRS is a parallelogram where P = 2y, Q = 3x, and angle S = 120°.
Finding the Value of Y:
To find the value of y, we need to use the properties of a parallelogram.
Property of a Parallelogram:
In a parallelogram, the opposite sides are equal in length and the opposite angles are equal in measure.
Using the given information:
P = 2y
Q = 3x
Angle S = 120°
Since PQRS is a parallelogram, opposite sides PQ and RS are equal.
Therefore, 2y = 3x (PQ = RS)
Given that angle S = 120° and angle R is also 120° (opposite angles in a parallelogram are equal), we can find the value of x.
Since angle S and angle R are supplementary angles in a parallelogram (add up to 180°), we have:
angle R = 180° - angle S = 180° - 120° = 60°
Now, we have angle R = 60° and angle Q = 120° (opposite angles in a parallelogram are equal).
Thus, 3x = 60°, which gives us x = 20°.
Substitute the value of x back into 2y = 3x to find y:
2y = 3(20)
2y = 60
y = 30
Therefore, the value of y in the parallelogram PQRS is 30.
|
Explore Courses for Class 6 exam
|
|
Top Courses for Class 6View all
Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms?
Question Description
Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms?.
Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms?.
Solutions for Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? in English & in Hindi are available as part of our courses for Class 6.
Download more important topics, notes, lectures and mock test series for Class 6 Exam by signing up for free.
Here you can find the meaning of Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? defined & explained in the simplest way possible. Besides giving the explanation of
Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms?, a detailed solution for Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? has been provided alongside types of Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? theory, EduRev gives you an
ample number of questions to practice Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y, explain in simple terms? tests, examples and also practice Class 6 tests.
|
|
Explore Courses for Class 6 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup