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Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y?
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Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y?
Given Information:
- Parallelogram PQRS
- p = 2y
- q = 3x
- ∠S = 120°
Finding the value of Y:
Step 1: Understanding Parallelogram Properties
- In a parallelogram, opposite angles are equal.
- Therefore, ∠P = ∠S = 120°.
Step 2: Applying Angle Sum Property of a Quadrilateral
- In a quadrilateral, the sum of all angles is 360°.
- ∠P + ∠Q + ∠R + ∠S = 360°
- 120° + ∠Q + ∠R + 120° = 360°
- ∠Q + ∠R = 360° - 240°
- ∠Q + ∠R = 120°
Step 3: Using the Given Values
- Since ∠Q and ∠R are equal in a parallelogram, we can say q = r.
- q = r = 3x
- 3x + 3x = 120°
- 6x = 120°
- x = 120° / 6
- x = 20°
Step 4: Finding the Value of Y
- We know that p = 2y
- p = 2y = 2(20°)
- p = 40°
- But we also know that p = ∠P = ∠S = 120°
- So, 40° = 120°
- This is not possible as angles in a triangle cannot be unequal.
- Therefore, there must have been a mistake in our calculations.
Step 5: Rectifying the Calculation
- Let's revisit our calculations and find the correct value of y.
Correct Calculation:
- p = ∠P = 120°
- p = 2y
- 2y = 120°
- y = 120° / 2
- y = 60°
Final Answer:
- The value of y in the parallelogram PQRS is 60°.
- Parallelogram PQRS
- p = 2y
- q = 3x
- ∠S = 120°
Finding the value of Y:
Step 1: Understanding Parallelogram Properties
- In a parallelogram, opposite angles are equal.
- Therefore, ∠P = ∠S = 120°.
Step 2: Applying Angle Sum Property of a Quadrilateral
- In a quadrilateral, the sum of all angles is 360°.
- ∠P + ∠Q + ∠R + ∠S = 360°
- 120° + ∠Q + ∠R + 120° = 360°
- ∠Q + ∠R = 360° - 240°
- ∠Q + ∠R = 120°
Step 3: Using the Given Values
- Since ∠Q and ∠R are equal in a parallelogram, we can say q = r.
- q = r = 3x
- 3x + 3x = 120°
- 6x = 120°
- x = 120° / 6
- x = 20°
Step 4: Finding the Value of Y
- We know that p = 2y
- p = 2y = 2(20°)
- p = 40°
- But we also know that p = ∠P = ∠S = 120°
- So, 40° = 120°
- This is not possible as angles in a triangle cannot be unequal.
- Therefore, there must have been a mistake in our calculations.
Step 5: Rectifying the Calculation
- Let's revisit our calculations and find the correct value of y.
Correct Calculation:
- p = ∠P = 120°
- p = 2y
- 2y = 120°
- y = 120° / 2
- y = 60°
Final Answer:
- The value of y in the parallelogram PQRS is 60°.
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Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y?
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Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y? 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? 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?.
Pqrs is a parallelogram p = 2y q=3x s= 120° so what is the value of Y? 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? 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?.
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