OpenOlympiad
Concept 6 of 10Foundation
Video

Constructing standard angles

Without a protractor, you can construct:

  • 60° — arc-based (equilateral triangle method).
  • 90° — by bisecting a straight angle (180°).
  • 30° — bisect a 60°.
  • 45° — bisect a 90°.
  • 120° = 60° + 60°.
Example
To get 75°: draw 90°, then inside it draw 60°; bisect the 30° gap to get 75° from the base arm.
💡 Tip:Learn to combine & bisect — you can hit most angles just with compass + ruler.
Prefer a video? Open YouTube search for “construct 30 45 60 90 angle without protractor

🎯 Try it!

5 questions to check what you just read.

0 / 5
  1. Q1.To get 30°, bisect:
  2. Q2.To get 45°, bisect:
  3. Q3.To get 15°, bisect:
  4. Q4.To get 120°, combine:
  5. Q5.75° can be obtained by: