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.

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

ASSIGNMENT 13.5

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

Dr. Sanjeev Verma Mathematics Solutions for Exercise - ASSIGNMENT 13.5

Simple step-by-step solutions to ASSIGNMENT 13.5 questions of Practical Geometry from Excellence in Mathematics. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.