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Which of the following is done to draw an angle of 150∘ using compasses and a ruler?
- a)Bisecting 120∘ and 180∘ angles.
- b)Bisecting 60∘ and 120∘ angles.
- c)Bisecting 0∘ and 60∘ angles.
- d)Bisecting a 360∘ angle.
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Which of the following is done to draw an angle of150using compasses a...
To draw an angle of 150° using compasses and a ruler, we need to follow the process of bisecting a 120° and 180° angle.
Here is a step-by-step explanation of how to draw an angle of 150° using compasses and a ruler:
1. Draw a line segment AB using a ruler.
2. Place the compasses on point A and draw an arc that intersects AB.
3. Without changing the compasses' width, place the compasses on point B and draw another arc that intersects the first arc.
4. Label the point where the two arcs intersect as C.
5. Place the compasses on point C and draw an arc that intersects the first arc.
6. Without changing the compasses' width, place the compasses on point B and draw another arc that intersects the second arc.
7. Label the point where the two arcs intersect as D.
8. Draw a line segment CD using a ruler.
9. Label the point of intersection between AB and CD as E.
Now, we have created a 120° angle ACE.
10. Place the compasses on point E and draw an arc that intersects AB.
11. Without changing the compasses' width, place the compasses on point A and draw another arc that intersects the first arc.
12. Label the point where the two arcs intersect as F.
13. Draw a line segment EF using a ruler.
Now, we have bisected the 120° angle ACE into two equal angles, which are each 60°. The angle EAF is 60°.
14. Place the compasses on point E and draw an arc that intersects CD.
15. Without changing the compasses' width, place the compasses on point D and draw another arc that intersects the first arc.
16. Label the point where the two arcs intersect as G.
17. Draw a line segment EG using a ruler.
Now, we have bisected the 60° angle EAF into two equal angles, which are each 30°. The angle EAG is 30°.
18. Place the compasses on point E and draw an arc that intersects AB.
19. Without changing the compasses' width, place the compasses on point A and draw another arc that intersects the first arc.
20. Label the point where the two arcs intersect as H.
21. Draw a line segment EH using a ruler.
Now, we have bisected the 30° angle EAG into two equal angles, which are each 15°. The angle EAH is 15°.
22. Measure the angle EAH using a protractor, and it will measure 15°.
Therefore, by bisecting a 120° angle and then bisecting the resulting 60° angle, we can construct an angle of 150° using compasses and a ruler.
Here is a step-by-step explanation of how to draw an angle of 150° using compasses and a ruler:
1. Draw a line segment AB using a ruler.
2. Place the compasses on point A and draw an arc that intersects AB.
3. Without changing the compasses' width, place the compasses on point B and draw another arc that intersects the first arc.
4. Label the point where the two arcs intersect as C.
5. Place the compasses on point C and draw an arc that intersects the first arc.
6. Without changing the compasses' width, place the compasses on point B and draw another arc that intersects the second arc.
7. Label the point where the two arcs intersect as D.
8. Draw a line segment CD using a ruler.
9. Label the point of intersection between AB and CD as E.
Now, we have created a 120° angle ACE.
10. Place the compasses on point E and draw an arc that intersects AB.
11. Without changing the compasses' width, place the compasses on point A and draw another arc that intersects the first arc.
12. Label the point where the two arcs intersect as F.
13. Draw a line segment EF using a ruler.
Now, we have bisected the 120° angle ACE into two equal angles, which are each 60°. The angle EAF is 60°.
14. Place the compasses on point E and draw an arc that intersects CD.
15. Without changing the compasses' width, place the compasses on point D and draw another arc that intersects the first arc.
16. Label the point where the two arcs intersect as G.
17. Draw a line segment EG using a ruler.
Now, we have bisected the 60° angle EAF into two equal angles, which are each 30°. The angle EAG is 30°.
18. Place the compasses on point E and draw an arc that intersects AB.
19. Without changing the compasses' width, place the compasses on point A and draw another arc that intersects the first arc.
20. Label the point where the two arcs intersect as H.
21. Draw a line segment EH using a ruler.
Now, we have bisected the 30° angle EAG into two equal angles, which are each 15°. The angle EAH is 15°.
22. Measure the angle EAH using a protractor, and it will measure 15°.
Therefore, by bisecting a 120° angle and then bisecting the resulting 60° angle, we can construct an angle of 150° using compasses and a ruler.
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Community Answer
Which of the following is done to draw an angle of150using compasses a...
The correct answer is option 'A'.
Because after bisecting 120⁰ and 180⁰, we get 60⁰ and 90⁰.
Now, 60⁰ + 90⁰ = 150⁰.
Because after bisecting 120⁰ and 180⁰, we get 60⁰ and 90⁰.
Now, 60⁰ + 90⁰ = 150⁰.
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Which of the following is done to draw an angle of150using compasses and a ruler?a)Bisecting120and180angles.b)Bisecting60and120angles.c)Bisecting0and60angles.d)Bisecting a360angle.Correct answer is option 'A'. Can you explain this answer?
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