Class 6 Exam > Class 6 Notes > Mathematics Class 6 ICSE > Worksheet: Angles
Worksheet: Angles | Mathematics Class 6 ICSE PDF Download
A. Multiple Choice Questions
Q1. What type of angle is 74°?
(a) Right
(b) Obtuse
(c) Acute
(d) Straight
Q2. Around a point, three angles are 120°, 95°, and x°. What is x?
(a) 145°
(b) 155°
(c) 165°
(d) 175°
Q3. The complement of 38° is:
(a) 38°
(b) 42°
(c) 52°
(d) 142°
Q4. Two lines intersect. If one angle is 128°, the vertically opposite angle is:
(a) 52°
(b) 128°
(c) 232°
(d) 180°
Q5. Two adjacent angles form a straight line. One is 63°. The other is:
(a) 27°
(b) 90°
(c) 117°
(d) 123°
B. Short Answer Questions
Q6. A line segment AB is 14 cm long. Point C is on AB such that AC = 9 cm. Find CB.
Q7. Find the supplement of 71°. Also say what type of angle it is.
Q8. In triangle XYZ, sides XY = 6 cm, YZ = 8 cm, XZ = 10 cm.
(a) Is this a valid triangle (closed figure)?
(b) Check if XY + YZ > XZ.
Q9. Three angles around a point are 90°, 110°, and k°. Find k and state the angle type.
Q10. Two adjacent angles form a linear pair. One angle is 30° more than the other. Find both angles.
C . Long Answer Questions
Q11. At point O, five angles are placed in order: AOB = 55°, BOC = 70°, COD = 90° (right angle), DOE = p°, and EOA = q°.
(a) Find p + q.
(b) If the region EOA equals the complement of AOB, find q and then p.
(c) Classify DOE by type.
Q12. Two angles are such that one is twice the other.
(a) If they are complementary, find both angles.
(b) If they are supplementary, find both angles.
Also state the type of each angle in both cases.
Q13. Two lines AB and CD intersect at O. One of the angles is 112°.
(a) Find the vertically opposite angle.
(b) Find the two adjacent angles that form linear pairs with 112°.
(c) Verify the linear-pair property.
You can access the solution of this worksheet here
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FAQs on Worksheet: Angles - Mathematics Class 6 ICSE
| 1. What are the different types of angles and how are they classified? |  |
Ans. Angles can be classified into several types based on their measures. The main types include acute angles (less than 90°), right angles (exactly 90°), obtuse angles (greater than 90° but less than 180°), straight angles (exactly 180°), reflex angles (greater than 180° but less than 360°), and full angles (exactly 360°). Understanding these classifications helps in identifying and working with angles in various geometrical contexts.
| 2. How do you measure angles using a protractor? | |
Ans. To measure angles using a protractor, follow these steps: First, place the midpoint of the protractor (the small hole or mark) at the vertex of the angle. Align one side of the angle with the zero line of the protractor. Then, read the measurement where the other side of the angle intersects the numbered scale on the protractor. Ensure you are reading the correct scale (inner or outer) depending on the direction of the angle.
| 3. What is the sum of angles in a triangle and how is it significant? | |
Ans. The sum of the interior angles in a triangle is always 180°. This property is significant because it helps in solving various geometrical problems, such as finding unknown angles when given other angles. It also forms the basis for understanding more complex geometrical concepts and theorems related to polygons.
| 4. What are complementary and supplementary angles? | |
Ans. Complementary angles are two angles whose measures add up to 90°. For example, if one angle measures 30°, the other must measure 60° to be complementary. Supplementary angles, on the other hand, are two angles that sum up to 180°. For instance, if one angle is 110°, the other must be 70° to be supplementary. These concepts are important in various applications in mathematics and real-life situations.
| 5. How can angles be found in different shapes like quadrilaterals? | |
Ans. In a quadrilateral, the sum of all interior angles is 360°. To find an unknown angle, you can use the formula: Unknown angle = 360° - (sum of the known angles). This principle applies to any quadrilateral, whether it is a rectangle, square, trapezium, or any other four-sided figure, and is essential for solving problems related to geometric figures.
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