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Word Problems: Shapes and Angles | Mathematics for Class 5: NCERT PDF Download

Q1: Identify whether the following shapes are open or closed figures:
(a) Triangle
(b) Circle
(c) Pentagon
Ans: 
(a) Closed
(b) Closed
(c) Closed

Q2: Name three types of polygons and provide the sum of angles for each.
(a) Triangle
(b) Hexagon
(c) Decagon
Ans:
(a) Triangle - Sum of angles: 180 degrees
(b) Hexagon - Sum of angles: 720 degrees
(c) Decagon - Sum of angles: 1440 degrees

Q3: If the sum of angles in a quadrilateral is 360 degrees, find the measure of each angle in a rectangle.
Ans: 
In a rectangle, each angle measures 90 degrees.

Q4: Calculate the sum of angles in a heptagon.
Ans: 
The sum of angles in a heptagon is 900 degrees.

Q5: What type of angle is formed by the minute and hour hands of a clock when it is 6 o'clock?
Ans: 
Right Angle (90 degrees)

Q6: If an angle measures 120 degrees, what type of angle is it?
Ans: 
Obtuse Angle

Q7: What is the angle formed between the hands of a clock at 3 o'clock?
Ans: 
The angle is 90 degrees.

Q8: If the minute hand of a clock is at 12, and the hour hand is at 3, what is the angle between them?
Ans: 
180 degrees

Q9: Find the sum of angles in a nonagon.
Ans: 
The sum of angles in a nonagon is 1260 degrees.

Q10: Identify the type of angle formed by the hands of a clock at 9:30.
Ans: 
135 degrees (Obtuse Angle)

The document Word Problems: Shapes and Angles | Mathematics for Class 5: NCERT is a part of the Class 5 Course Mathematics for Class 5: NCERT.
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FAQs on Word Problems: Shapes and Angles - Mathematics for Class 5: NCERT

1. What is the sum of the interior angles of a triangle?
Ans. The sum of the interior angles of a triangle is always 180 degrees.
2. How many sides does a hexagon have?
Ans. A hexagon has six sides.
3. What is the difference between a square and a rectangle?
Ans. A square is a type of rectangle, but all sides of a square are equal in length, while a rectangle has two pairs of parallel sides with unequal lengths.
4. How do you calculate the area of a circle?
Ans. The area of a circle can be calculated using the formula A = πr^2, where A represents the area and r represents the radius of the circle.
5. What is the relationship between parallel lines and corresponding angles?
Ans. Corresponding angles are formed when a transversal intersects two parallel lines. They are congruent, meaning they have the same measure.
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