Math, asked by mayank11816, 3 months ago

construct àñ àñglé øf 80°​


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Answers

Answered by SweetImposter
25

Step-by-step explanation:

Only by using compass , 80° angle to be constructed…

As 90° - 10° = 80° , So, we try to construct 10° first

We need to know that any angle can be divided into any number of 2^n equal parts. Where n is a whole number like 1, 2, 3,4 ….. & so on.

Step wise , shown below are angles to be constructed in order..

Step1: 90° + 45° = 135°

Step2: 135° ÷ 2 = 67.5°

Step3: 67.5° ÷2 = 33.75°

Step4: 33.75° ÷2 = 16.875°

Step4: Now, we combine angles 33.75° & 16.875° together to get 50.625°

Step4: Now, from our initial 90° angle , the above constructed 50.625 ° is taken off. & We are left with 40° approximately or we can say very very close to 40°. ( as with 100% accuracy, it's not possible to construct the required measure only by using compass)

Step4: Now this 40° is divided into 2 equal parts. We get 20°, which is further divided into 2 equal parts . We get 10°

Step5: Now we construct a fresh 90° angle, out of which the above obtained 10° is cut off. ( by using the method of construction of equal angles)

Finally we get 90° - 10° = 80°

In the above method, we are neglecting the lowest decimal value… Whereas in other methods, we may have to neglect the bigger decimal value, which affects the accuracy more.

Answered by Anonymous
17

Answer:

Just follow these steps and you have your desired angle. Draw a straight line using ruler scale at a convenient distance. 2.Using compass draw a small semi circle (i. e. It would be of 18 0 degrees) 3.Cut that semi circle in 3 equal parts i. As each will be of 60 degree draw a arc between 1&2 arc.

Step-by-step explanation:

Hope it's helpful to you ✌️

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