Use protractor to draw angles of: 7 1 2 °

Here, we need to draw an angle 7 1 2 ° by using protractor. 7 1 2 ° can also be written as 7 . 5 ° . To draw an angle 7 . 5 ° using a protractor , proceed as follows Draw a ray AB . Place a dot at B . This dot represents the vertex of the angle. Place the centre of the protractor at B and the baseline of the protractor along the arm AB . Find 7 . 5 ° on the protractor and mark a small dot at the edge of the protractor. Join the vertex B to the small dot with a ruler to form the second arm, BC , of the angle. Label the angle with capital letters ∠ ABC . ∠ ABC = 7 . 5 ° o r 7 1 2 ° is the required angle. Hence, the angle 7 1 2 ° is drawn above using a protractor.

Use protractor to draw angles of: 22 1 2 °

Here, we need to draw an angle 22 1 2 ° by using protractor. 22 1 2 ° can also be written as 22 . 5 ° . To draw an angle 22 . 5 ° using a protractor , proceed as follows Draw a ray AB . Place a dot at B . This dot represents the vertex of the angle. Place the centre of the protractor at B and the baseline of the protractor along the arm AB . Find 22 . 5 ° which is between 22 ° and 23 ° on the protractor and mark a small dot at the edge of the protractor. Join the vertex B to the small dot with a ruler to form the second arm, BC , of the angle. Label the angle with capital letters ∠ ABC . ∠ ABC = 22 . 5 ° o r 22 1 2 ° is the required angle. Hence, the angle 22 1 2 ° is drawn above using a protractor.

Construct an angle of measure 7 1 2 degrees using Ruler and Compass.

Steps of Construction: 1. Draw a straight line AB. 2. With center 'A', taking a convenient radius draw an arc that intersects AB at P. 3. With P as a center with the same radius draw an arc at Q. Join QA, ∠ QAB = 60 ° 4. Now construct AS which is the angular bisector of ∠ QAB , and join AS, ∠ S AB = 30 ° . 5. Now construct AT which is the angular bisector of ∠ SAB , and Join AT, ∠ TAB = 15 ° 6. Now construct AU which is the angular bisector of ∠ UAB , and Join AU, Now, ∠ UAB = 7 1 2 ° Hence, the required angle 7 1 2 ° has been constructed.

Construct an angle of measure 22 1 2 degrees using Ruler and Compass.

Steps of Construction: 1. Draw a straight line AB. 2. With center 'A', taking a convenient radius draw an arc that intersects AB at P. 3. With P as a center with the same radius draw an arc at Q, with Q as center with same radius draw an arc that intersects at R. 4. With R and Q as centers with the same radius draw two arcs that intersect at S. Join AS, ∠ BAS = 90 ° 5. Now construct AT which is the angular bisector of ∠ BAS , and join AT, ∠ TAB = 45 ° . 6. Now construct AU which is the angular bisector of ∠ TAB , and Join AU. Now, ∠ UAB = 22 1 2 ° Hence, the required angle 22 1 2 ° has been constructed.

E M B I B E

Excellence in Mathematics>Chapter 13 - Practical Geometry>ASSIGNMENT 13.5

Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Practical Geometry, Exercise 6: ASSIGNMENT 13.5

Author:Dr. Sanjeev Verma & R.K. Tyagi

Dr. Sanjeev Verma Mathematics Solutions for Exercise - Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Practical Geometry, Exercise 6: ASSIGNMENT 13.5

Attempt the practice questions on Chapter 13: Practical Geometry, Exercise 6: ASSIGNMENT 13.5 with hints and solutions to strengthen your understanding. Excellence in Mathematics solutions are prepared by Experienced Embibe Experts.