Degree Orbit
Degrees give an angle a numerical measure. The symbol ° means degrees. A right angle is 90°. Two right angles make a straight opening of 180°. Dividing a right angle into two equal parts gives 45° each, and dividing it into three equal parts gives 30° each.
Before you try
If a right angle is 90°, what is one third of it?
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The game practises one idea at a time with simple drawn pictures. Check the same idea with real objects and your NCERT textbook (Chapter 2: Shapes and Angles, pages 30–32).
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Try these ideas
- Sketch a half-right-angle opening.
- Compare 30° with 60°.
- Align the zero ray before reading a new angle.
Why it works
Degrees give an angle a numerical measure. The symbol ° means degrees. A right angle is 90°. Two right angles make a straight opening of 180°. Dividing a right angle into two equal parts gives 45° each, and dividing it into three equal parts gives 30° each.
A degree clock or protractor has a centre and a scale. Put the centre at the vertex and align the zero ray with the first arm. Read along the scale from that zero until you reach the second arm. Starting at the wrong zero can give the wrong number.
Paper half-folds and quarter-folds help you understand where 180° and 90° come from. A further half-fold makes 45°. Degree Sketcher focuses on the chapter’s straight-angle range, including 30°, 45°, 60°, 90°, 120°, 135°, 150° and 180°. Accurate finger strokes snap to the exact target.
Worked example: Find one third and two thirds of a right angle. A right angle is 90°. One third is 90° ÷ 3 = 30°. Two thirds is 2 × 30° = 60°.
Check your understanding
Question 1 of 2
Two right angles together make…
One third of a right angle is…
Explain it in your own words
What changed? Why did it happen? Where might you notice this in everyday life?
For parents & teachers
- Paper degree clock · 10 minutes. Fold a paper circle into halves, quarters and eighths. Mark 180°, 90° and 45°, then add a movable hand.
- Thirty-degree comparison · 5 minutes. Use a protractor to draw 30° and 60° openings from the same baseline. Compare them with a right angle.