Problem Set 26 – Drawing Angles with a ProtractorClass 5 Maths · Chapter 6 Angles · Problem Set 26 – Maharashtra Board

Summary: Problem Set 26 – Drawing Angles with a Protractor

To draw an angle, first draw one arm with a ruler. One end of it will be the vertex.

Put the centre of the protractor on the vertex and lay the baseline along the arm.

Count from the 0 on the side where the arm lies and make a small dot at the measure you want.

Remove the protractor and join the vertex to the dot with a ruler. Write letters and the measure.

A common mistake is counting from the wrong 0 — then you get 180° minus the angle you wanted.

Key points to remember

• Draw the first arm with a ruler
• Mark the vertex at one end
• Centre of protractor on the vertex
• Baseline along the first arm
• Count from the 0 on the arm's side
• Dot at the needed measure, then join
• Name the angle with 3 letters, vertex in the middle
• Wrong 0 gives 180° − the angle

Problem Set 26 – Drawing Angles with a Protractor – Notes

1. What you need

• A sharp pencil, a ruler and a protractor.
• Know the name of the angle, e.g. ∠DEF. The middle letter E is the vertex; ED and EF are the arms.

2. The four steps

• 1. Draw arm EF with the ruler. E is the vertex.
• 2. Put the protractor's centre on E and its baseline on EF.
• 3. Arm EF goes to the right of E, so count 10, 20, 30… from the 0 on the right. Put a dot at the number you need.
• 4. Lift the protractor. Join E to the dot with the ruler and write D at the far end.

3. Avoid the wrong-scale mistake

• If the arm goes to the right but you count from the left 0, your dot lands at the wrong place.
• For example, if you want 70° but count from the wrong side, you will really draw 180° − 70° = 110°.
• Quick check: 70° should look narrower than a book corner. If your angle looks wide, you used the wrong 0.

4. Drawing big (obtuse) angles

• The steps are the same. Only the dot goes past 90.
• For 130°, count past 90 to 100, 110, 120, 130 on the correct scale.
• Check: the angle must look wider than a book corner.

5. Types of angles by measure

• An angle of exactly 90° is a right angle.
• An angle less than 90° is an acute angle — 30°, 45°, 60°.
• An angle more than 90° (and less than 180°) is an obtuse angle — 120°, 150°, 165°.

Formulas at a glance

Key terms

Problem Set 26 – Drawing Angles with a Protractor – Flashcards

Read the question, answer it in your head, then tap the card to check. 10 cards.

Problem Set 26 – Drawing Angles with a Protractor – MCQ Quiz

10 questions. Tap an option — you will see at once if it is right and why.

How to study Problem Set 26 – Drawing Angles with a Protractor

⏱ About 25 minutes

1. Learn (5 min)
   Learn the four steps for drawing an angle.
2. Draw (15 min)
   Draw and name angles of 60°, 120°, 90°, 150°, 30°, 165° and 45°. Check each one by measuring it.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.