Q1: An angle is formed when two __________ meet at a common point. (a) lines (b) rays (c) circles (d) triangles
Solution:
Ans: (b) Explanation: An angle is formed when two rays share a common endpoint called the vertex. Lines extend infinitely in both directions, while rays have a starting point and extend in one direction, making them the correct answer.
Q2: What is the common endpoint where two rays meet to form an angle called? (a) side (b) vertex (c) edge (d) corner
Solution:
Ans: (b) Explanation: The vertex is the common endpoint where the two rays of an angle meet. The rays are called the sides of the angle, but the point where they meet is specifically called the vertex.
Q3: Which angle measures exactly 90 degrees? (a) acute angle (b) obtuse angle (c) right angle (d) straight angle
Solution:
Ans: (c) Explanation: A right angle measures exactly \(90°\). An acute angle measures less than \(90°\), an obtuse angle measures more than \(90°\) but less than \(180°\), and a straight angle measures exactly \(180°\).
Q4: An angle that measures less than 90 degrees is called: (a) right angle (b) obtuse angle (c) acute angle (d) reflex angle
Solution:
Ans: (c) Explanation: An acute angle is any angle that measures less than \(90°\). Examples include angles measuring \(30°\), \(45°\), or \(60°\). It is smaller than a right angle.
Q5: Which of the following angles measures more than 90 degrees but less than 180 degrees? (a) acute angle (b) right angle (c) obtuse angle (d) straight angle
Solution:
Ans: (c) Explanation: An obtuse angle measures more than \(90°\) but less than \(180°\). Examples include angles measuring \(100°\), \(120°\), or \(150°\). It is larger than a right angle but smaller than a straight angle.
Ans: (c) Explanation: A straight angle measures exactly \(180°\). It forms a straight line, and the two rays point in opposite directions from the vertex.
Q7: Which tool is commonly used to measure angles? (a) ruler (b) compass (c) protractor (d) calculator
Solution:
Ans: (c) Explanation: A protractor is the tool used to measure angles in degrees. It is usually semicircular and has degree markings from \(0°\) to \(180°\). A ruler measures length, and a compass draws circles.
Q8: How many degrees are in a full rotation or complete turn? (a) 90 degrees (b) 180 degrees (c) 270 degrees (d) 360 degrees
Solution:
Ans: (d) Explanation: A full rotation or complete turn measures \(360°\). This represents turning all the way around in a circle back to the starting position.
Section B: Fill in the Blanks
Q9: An angle is measured in units called __________.
Solution:
Ans: degrees Explanation: Angles are measured in degrees, represented by the symbol \(°\). This is the standard unit for measuring the amount of turn between two rays.
Q10: The two rays that form an angle are called the __________ of the angle.
Solution:
Ans: sides Explanation: The two rays that meet to form an angle are called the sides of the angle. They share a common endpoint called the vertex.
Q11: An angle that measures greater than 90 degrees but less than 180 degrees is called an __________ angle.
Solution:
Ans: obtuse Explanation: An obtuse angle is any angle measuring between \(90°\) and \(180°\). It is wider than a right angle but not as wide as a straight angle.
Q12: When the hands of a clock show 3:00, they form a __________ angle.
Solution:
Ans: right Explanation: At 3:00, the hour hand points to 3 and the minute hand points to 12, forming a \(90°\) angle, which is a right angle.
Q13: An angle measuring exactly 180 degrees forms a __________ line.
Solution:
Ans: straight Explanation: A \(180°\) angle is called a straight angle because the two rays form a straight line pointing in opposite directions.
Q14: The symbol used to represent degrees is __________.
Solution:
Ans: ° Explanation: The degree symbol \(°\) is used to show angle measurements. For example, a right angle is written as \(90°\).
Section C: Word Problems
Q15: Sarah is looking at a corner of her notebook. The corner forms a right angle. What is the measure of this angle in degrees?
Solution:
Ans: Final Answer: 90 degrees
Q16: Tommy draws an angle that measures 45 degrees. Is this angle acute, right, or obtuse? Explain your answer.
Solution:
Ans: Final Answer: Acute angle, because 45 degrees is less than 90 degrees
Q17: A door is partially open and forms an angle of 120 degrees with the wall. What type of angle is this?
Solution:
Ans: Final Answer: Obtuse angle
Q18: Maria measures an angle using a protractor and finds it is 90 degrees. She then measures another angle and finds it is 45 degrees. What is the total of the two angle measurements?
Solution:
Ans: Final Answer: 135 degrees
Q19: A slice of pizza forms an angle of 60 degrees at the tip. The next slice forms an angle of 80 degrees. Which slice has the wider angle, and what type of angles are they?
Solution:
Ans: Final Answer: The second slice has the wider angle at 80 degrees. Both angles are acute angles.
Q20: Ben is making a paper airplane. One fold creates an angle of 30 degrees, and another fold creates an angle of 150 degrees. Identify each angle as acute, right, or obtuse.
Solution:
Ans: Final Answer: The 30-degree angle is acute, and the 150-degree angle is obtuse.
The document Worksheet (with Solutions): Angle Introduction is a part of the Grade 4 Course Math Grade 4.
Semester Notes, Worksheet (with Solutions): Angle Introduction, Important questions, Free, mock tests for examination, video lectures, Worksheet (with Solutions): Angle Introduction, study material, Objective type Questions, MCQs, ppt, Worksheet (with Solutions): Angle Introduction, practice quizzes, Extra Questions, Sample Paper, Summary, Previous Year Questions with Solutions, Exam, past year papers, Viva Questions, pdf , shortcuts and tricks;