Which of the following angle can be constructed with the help of a ruler and a pair of compasses? (i) 35° (ii) 40° (iii) 37.5° (iv) 47.5°
Answers
Answered by
1
37.5° can be constructed with the help of a ruler and a pair of compasses.
Correct option: (iii) 37.5°
Step-by-step explanation:
- We can draw 37.5° with the help of a ruler and a pair of compasses with the help of some steps.
- Method 1: First draw 60° and then divide it twice to form 15°. Now, draw five 15° angles consecutively to get (5 × 15°) = 75°. Then divide it into two parts: (75° ÷ 2) = 37.5°.
- Method 2: First draw 180° (simply take 60° thrice). Then divide the last 60° into two equal parts. You will get 150°. Now divide that angles twice to form (150° ÷ 4) = 37.5°.
Similar questions