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Drawing Angles

Related Topics:
Construct angles with the use of compasses instead of protractors
More Geometry Lessons

In these lessons, we will look at how to use a protractor to
  • draw an angle less than 180˚
  • draw an angle greater than 180˚ (reflex angle)


Drawing Angles Using a Protractor

How to draw an angle less than 180˚

Example:

Draw an angle ABC, which is 55˚.

Step 1: Draw a line BC and mark B as the vertex.

Draw a line

Step 2: Place the centre of the protractor at the vertex B and adjust the base line to be aligned to BC.

Adjust Protractor

Step 3: Find 55˚ on the outer scale of the protractor and mark that point as point A.

Mark Angle

Step 4: Remove the protractor and draw a line from point B to point A

Connect Line

Step 5: Label and ABC

Label Angle



How to draw and measure angles using a protractor?
Examples:
Draw and measure
a) a 110° angle.
b) a 27° angle
Measuring angles using a protractor (acute angles) Measuring Angles with Protractors (obtuse angles)

How to draw an angle greater than 180˚ (reflex angle)

To draw a reflex angle (i.e. angle greater than 180º and less than 360º), we need to
  • Subtract the reflex angle from 360º. 
  • Draw the resulting angle as described above.
  • Mark the required angle which is outside the one that has been drawn.

Example:

Draw an angle ABC = 250˚

To draw the reflex angle, 250˚, we first draw the angle obtained by subtracting 250˚ from 360˚ which is 360˚ – 250˚ = 110˚

Step 1: Draw the line BC

Draw a line

Step 2: Place the centre of the protractor at the vertex B and adjust the base line to be aligned to BC.

Adjust Protractor

Step 3: Find the angle 110˚ on the protractor (inner) scale and mark that as point A.

Measure Mark Angle

Step 4: Remove the protractor and draw a line from point B to point A.

Connect Line

Step 5: Label the reflex angle ABC

Label Angle

How to use a protractor to draw acute angles, right angles, obtuse angles and reflex angles? How to draw a Reflex Angle? How to Measure a Reflex Angle Using a Protractor?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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