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Can all the angles of a quadrilateral be...

Can all the angles of a quadrilateral be acute angles ? Give reason for your answer.

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No, all the angles of a quadrilateral cannot be acute agles. As, sum of the angles of a quadrilateral is `360^(@)`. So, maximum of three acute angles will be possible.
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NCERT EXEMPLAR-QUADRILATERALS -Quadrilaterals
  1. In the figure, it is given that BDEF and FDCE are parallelogram. Can y...

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  2. In figure, ABCD and AEFG are two parallelograms. If angleC = 55^(@), ...

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  3. Can all the angles of a quadrilateral be acute angles ? Give reason fo...

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  4. Can all the angles of a quadrilateral be right angles ? Give reason fo...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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