a)45°b)120°c)140°d)none of theseCorrect answer is 'C'. Can...
Sum of all angles of a quadrilateral is 360 degree . so we will add all the angles of quadrilateral and subtract it from 360 to get x. there is a linear pair on left side and exterior angle is 90 hence the other angle will be 90 by linear pair property. hence 70+60+90+x=360 220+x=360 x=360-220 x=140 hence C is the right answer.
a)45°b)120°c)140°d)none of theseCorrect answer is 'C'. Can...
Explanation:
Properties of a Quadrilateral with Bisecting Diagonals:
- When the diagonals of a quadrilateral bisect each other, it implies that the quadrilateral is a special type of quadrilateral.
- The quadrilateral in this case is known as a parallelogram.
Special Properties of a Parallelogram:
- A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
- The opposite angles of a parallelogram are also equal.
- The consecutive angles of a parallelogram are supplementary (add up to 180 degrees).
- The diagonals of a parallelogram bisect each other.
Conclusion:
Since the given quadrilateral ABCD has AC and BD bisecting each other, it must be a parallelogram based on the properties mentioned above. Therefore, the correct answer is option D - All of the above (a square, a parallelogram, and a rectangle).