Question

Construct the following angles and verify by measuring them by a protractor:
(1) 75 degree
(1) 105 degree
(ii) 135 degree
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Answer 1

• As an example, by first constructing a 30° angle and then a 45° angle, you will get a 75° angle. The table below shows some angles that can be obtained by summing simpler ones in various ways

To make Combine angles

75° 30° + 45°

105° 45° + 60°

120° 30° + 90° or 60° + 60°

135° 90° + 45°

150° 60° + 90°

• Furthermore, by combining three angles many more can be constructed.