Home
Class 8
MATHS
If PQRS is a parallelogram, then angleP ...

If PQRS is a parallelogram, then `angleP – angleR` is equal to

A

60°

B

90°

C

80°

D

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the properties of a parallelogram. Here’s the step-by-step solution: ### Step 1: Understand the properties of a parallelogram A parallelogram has specific properties, one of which is that opposite angles are equal. This means that in parallelogram PQRS, we have: - Angle P = Angle R - Angle S = Angle Q ### Step 2: Set up the equation Since we know that angle P is equal to angle R, we can express this mathematically: - Angle P - Angle R = 0 ### Step 3: Substitute the values Now, substituting the equality into our equation: - Angle P - Angle R = Angle R - Angle R = 0 ### Step 4: Conclusion Thus, we conclude that: - Angle P - Angle R = 0 degrees ### Final Answer Therefore, angle P minus angle R is equal to **0 degrees**. ---
Promotional Banner

Topper's Solved these Questions

  • UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY

    NCERT EXEMPLAR|Exercise APPLICATIONS, GAMES AND PUZZLES|3 Videos
  • UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY

    NCERT EXEMPLAR|Exercise THINK AND DISCUSS|2 Videos
  • UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY

    NCERT EXEMPLAR|Exercise THINK AND DISCUSS|2 Videos
  • SQUARE - SQUARE ROOT AND CUBE-CUBE ROOT

    NCERT EXEMPLAR|Exercise Exercise |52 Videos
  • VISUALISING SOLID SHAPES

    NCERT EXEMPLAR|Exercise EXERCISE |91 Videos

Similar Questions

Explore conceptually related problems

If PQRS is a parallelogram, then y equals

PQRS is parallelogram find x,y,z

In the given figure, If PQRS is a parallelogram, then find the values of x and y.

In the figure if PQRS is a parallelogram, then find the value of x & y.

If PQRS is a parallelogram, then which of the followign is a false statement?

In a parallelogram the diagonals are equal in length

square PQRS is a parallelogram . The ratio measure of angle P and angle R is 3:7 . Find the measure of angleP .

NCERT EXEMPLAR-UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY-EXERCISE
  1. In a parallelogram PQRS, if angleP = 60°, then other three angles are

    Text Solution

    |

  2. If two adjacent angles of a parallelogram are in the ratio 2 : 3, then...

    Text Solution

    |

  3. If PQRS is a parallelogram, then angleP – angleR is equal to

    Text Solution

    |

  4. The sum of adjacent angles of a parallelogram is

    Text Solution

    |

  5. The angle between the two altitudes of a parallelogram through the sam...

    Text Solution

    |

  6. In the given figure, ABCD and BDCE are parallelograms with common base...

    Text Solution

    |

  7. Length of one of the diagonals of a rectangle whose sides are 10 cm an...

    Text Solution

    |

  8. If the adjacent angles of a parallelogram are equal, then the parallel...

    Text Solution

    |

  9. Which of the following can be four interior angles of a quadrilateral?

    Text Solution

    |

  10. The sum of angles of a concave quadrilateral is

    Text Solution

    |

  11. Which of the following can never be the measure of exterior angle of a...

    Text Solution

    |

  12. In the figure, BEST is a rhombus, Then the value of y – x is

    Text Solution

    |

  13. The closed curve which is also a polygon is

    Text Solution

    |

  14. Which of the following is not true for an exterior angle of a regular ...

    Text Solution

    |

  15. PQRS is a square. PR and SQ intersect at O. Then anglePOQ is a

    Text Solution

    |

  16. Two adjacent angles of a parallelogram are in the ratio 1:5. find all ...

    Text Solution

    |

  17. A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm an...

    Text Solution

    |

  18. The angles P, Q, R and S of a quadrilateral are in the ratio 1:3:7:9. ...

    Text Solution

    |

  19. PQRS is a trapezium in which PQ||SR and angleP=130°, angleQ=110°. Then...

    Text Solution

    |

  20. The number of sides of a regular polygon whose each interior angle is ...

    Text Solution

    |