MIP2601 Assignment 3 (818210) Due 14 JULY 2025

MIP2601
Assignment 3
Unique No: 818210
Due 14 JULY 2025,

,MIP2601
Assignment 3
Unique No: 818210
Due 14 JULY 2025


Exceptional Solutions


Question 1.1: Constructing Angles and Calculating Percentage Error
Instructions: Using only a straightedge and reasoning, construct the following angles.
Describe your construction method and calculate the percentage error using a protractor.


(a) Constructing a 30° Angle
Reasoning: Construct an equilateral triangle where all angles are 60°, then bisect one of the
angles to create a 30° angle.

C




30◦
60◦
A B

Measured angle: 32◦ Percentage
Error:

67%
—




1

,(b) Constructing a 45° Angle
Reasoning: Construct perpendicular lines (90°), then bisect to get 45°.




45◦


Measured angle: 44◦ Percentage
Error:

22%
—


(c) Constructing a 100° Angle
Reasoning: Construct a 90° angle, then estimate 10° more.




100◦



Measured angle: 98◦ Percentage
Error:

100 = 2%
—




2

, (d) Constructing a 300° Angle
Reasoning: A full circle is 360°. Subtract 60° to get 300° from horizontal. Draw a 60°
clockwise angle.



60◦




Measured angle: 295◦ Percentage
Error:

67%
—


(e) Constructing a 67° Angle
Reasoning: Estimate angle between 60° and 70° using a known reference.




67◦


Measured angle: 70◦ Percentage
Error:

48%




3