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Class 9 Mathematics by Full Circle

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Class 9 : Very Short Answer Type Questions- Quadrilaterals Class 9 Notes | EduRev

The document Very Short Answer Type Questions- Quadrilaterals Class 9 Notes | EduRev is a part of the Class 9 Course Class 9 Mathematics by Full Circle.
All you need of Class 9 at this link: Class 9

Question 1. In the adjoining figure, ABCD is a trapezium in which AB || DC. If âˆ A = 35Âº and âˆ B = 75Âº, then find âˆ C and âˆ D.
Solution:
AB || DC and AD is a transversal.
âˆ´ âˆ A + âˆ D = 180Âº
â‡’ âˆ D = 180Â° - âˆ A
= 180Â° - 35Â° = 145Â°

Similarly, âˆ B + âˆ C = 180Âº
â‡’ âˆ C = 180Â° - 75Â° = 105Â°
Thus, âˆ C = 105Â°âˆ D = 145Â°

Question 2. Fill in the blanks:
(i) In a parallelogram, opposite angles are ____.(ii) A ____ of a parallelogram divides it into two congruent triangles. (iii) The sum of the angles of a quadrilateral is ____. (iv ) In a parallelogram, the opposite sides are parallel and _____.
Solution:
(i) equal
(ii) diagonal
(iii) 360Â°
(iv) equal

Question 3. One angle of a quadrilateral is 140Â° and other three angles are in the ratio of 3 : 3 : 2.
Find the measure of the smallest angle of the quadrilateral.
Solution:
Remaining three angles = 360Â° - 140Â° = 220Â°
Ratio is 3 : 3 : 2
âˆ´ The smallest angle

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