Class 9 Exam > Class 9 Videos > Crash Course: Class 9 (Hinglish) > Angle Sum Property of a Quadrilateral
Angle Sum Property of a Quadrilateral Video Lecture | Crash Course: Class 9 (Hinglish)
FAQs on Angle Sum Property of a Quadrilateral Video Lecture - Crash Course: Class 9 (Hinglish)
| 1. What is the Angle Sum Property of a Quadrilateral? |  |
Ans. The Angle Sum Property of a Quadrilateral states that the sum of all the angles in a quadrilateral is equal to 360 degrees.
| 2. How can the Angle Sum Property of a Quadrilateral be proved? | |
Ans. The Angle Sum Property of a Quadrilateral can be proved by dividing the quadrilateral into two triangles and using the Angle Sum Property of triangles, which states that the sum of all the angles in a triangle is equal to 180 degrees. By considering both triangles, we can conclude that the sum of the angles in the quadrilateral is equal to 360 degrees.
| 3. Can a quadrilateral have all its angles equal to 90 degrees? | |
Ans. Yes, a quadrilateral can have all its angles equal to 90 degrees. Such a quadrilateral is called a rectangle. In a rectangle, all four angles are right angles, and the sum of the angles (90 + 90 + 90 + 90) is equal to 360 degrees.
| 4. Is it possible for a quadrilateral to have three angles equal to 60 degrees? | |
Ans. No, it is not possible for a quadrilateral to have three angles equal to 60 degrees. The sum of three angles equal to 60 degrees would be 180 degrees, leaving no room for the fourth angle. Hence, a quadrilateral cannot have three angles equal to 60 degrees.
| 5. Can a quadrilateral have two acute angles and two obtuse angles? | |
Ans. Yes, a quadrilateral can have two acute angles and two obtuse angles. Such a quadrilateral is called an asymmetric kite. In an asymmetric kite, two opposite angles are acute, and the other two opposite angles are obtuse. The sum of the angles in the kite is still equal to 360 degrees.
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