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Opposite angles of a quadrilateral ABCD ...

Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.

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To solve the problem, we need to use the property of a quadrilateral where opposite angles are equal. Let's break down the solution step by step. ### Step-by-Step Solution: 1. **Understanding the Property**: In a quadrilateral where opposite angles are equal, it can be inferred that the quadrilateral is a special type of quadrilateral, specifically a parallelogram. In a parallelogram, opposite sides are also equal. 2. **Identifying the Sides**: We are given that one of the sides, AB, is 4 cm. Since opposite sides are equal in a parallelogram, we can denote the sides as follows: - AB = CD ...
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NCERT EXEMPLAR-QUADRILATERALS -Quadrilaterals
  1. Can all the angles of a quadrilateral be right angles ? Give reason fo...

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  2. Diagonals of a quadrilateral ABCD bisect each other. If angleA=35^(@),...

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  3. Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, deter...

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  4. One angle of a quadrilateral is 108^0 and the remaining three angles a...

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  5. ABCD is a trapezium in which AB||DC and angleA=angleB=45^(@). Find an...

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  6. The angle between two altitudes of a parallelogram through the vertex ...

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  7. ABCD is a rhombus in which altitude from D to side AB bisects AB. Find...

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  8. E and F are points on diagonal AC of a parallelogram ABCD such that AE...

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  9. E is the mid-point of the side AD of the trapezium ABCD with AB||DC. A...

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  10. Through A, B and C lines RQ, PR and QP have been drawn, respectively p...

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  11. D, E and F are the mid-points of the sides BC, CA and AB, respectively...

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  12. Points P and Q have been taken on opposite sides AB and CD, respective...

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  13. In figure, P is the mid-point of side BC of a parallelogram ABCD such ...

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  14. A square is incribed in an isoceles right triangle, so that the square...

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  15. In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ang...

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  16. P, Q , R and S are respectively the mid-points of the sides AB, BC, C...

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  17. ABCD is a rhombus and P, Q, R and S are wthe mid-points of the sides A...

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  18. P, Q, R and S are respectively the mid-points of sides AB, BC, CD and ...

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  19. If diagonal of a parallelogram bisects one of the angles of the parall...

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  20. ABCD is a parallelogram in which P and Q are mid-points of opposite...

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