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How do you measure an angle without using a protractor?

Updated: 4/28/2022
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Coltsqueen1

Lvl 1
8y ago

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You can easily work out, an exact value for an angle using trigonometry... The science of triangles.. I actually put the formulas into an MS spreadsheet so all i had to do was put the length of the sides into the database...

Trigonometry requires, certain information and you can adjust your formulae based on what info you have... Kinda like a Crime Scene Case... You can put the figures together...

Lets just say I have a triangle don't know any of the angles to it... But i can easily measure the sides.. also known as an SSS triangle... Although it doesn't necessarily need to be a triangle you can turn anything into a triangle...

So going back to what i was saying...

You got a Triangle with sides 10 by 12 by 14

Lets work out Angle [A] : (b²+c²-a²) /(2*b*c) then Cos-1(Answer)

So to work out angle A (10²+14²-12²) / (2*10*14) = 0.5428571 Then click the Cos-1(0.5428571) and you get 57.12 Degrees which is Angle A

To get the other Angles you simply alter the existing formula above..

.

To work out Angle B simply change (b²+c²-a²) to (a²+c²-b²) and "/2*b*c" to "/(2*a*c)" and cos-1() it... Just remember you have Cos() on your calc but press your shift key to get Cos-1() it will make a difference... Cos-1 is the inverse number...

Now to get the last Angle either, Add Angles A+B togethor which we have worked out the Angles for, then take it away from 180 degrees or use the formula to work it out... I often do both just to verify my formula is correct...

One more thing... You may not have that specific triangle but there are numerous pieces of information that you might have... And i can reassure you that theres a few websites which will have the solution for the pieces of info you do have... Kinda like a Jigsaw... you just need to figure out which piece fits where.... Hope that helps... Its probs a lot simpler than it sounds when you work it out... Just message me if you have any probs...

that works but you need to have a ruler or the measurements of at least two sides to be able to use cos, sin, or tan. There are many different ways to calculate the measurements of an angle if you have a certain amount of information...It depends on what you have.

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Q: How do you measure an angle without using a protractor?
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Related questions

What is the measure of an angle?

Using a protractor the measure of and angle is how many degrees around it is.


How can i find a measure of an angle?

By using a protractor or using trigonometry


how two system of measuring angle?

By using a protractor we can measure an angle


Do you have to measure the sides while measuring an angle?

When measuring an angle you have to measure the sides using a protractor.


How can you find right angles without using a protractor?

You can never really be certain about the measure of an angle without using a protractor, or some similar tool. Usually, you can try to "eyeball" it, though. Just remember that a right angle is the same as an angle in a square. It is also a quarter of a whole revolution.


Would Without using a protractor what info would you need to get the measure of an exterior angle?

You would need to know the interior angle because 180-interior angle = exterior angle


How do you draw an angle of 45 degrees without using a protractor?

it


How do you find the size of an angle without using a protractor?

If the angle is a lone, random angle, I believe you would need a protractor to determine the precise size of the angle (in "degrees"). However, you could, in this case, roughly guess as to whether the angle is acute, obtuse, or right (if the little rectangle is shown in the angle). Of course, if an angle is in a position where one can determine its measure using known postulates or theorems, finding the size of this angle becomes much easier. For example, if you know the measure of one angle and you must determine the measure of another angle, but these two angles are vertical angles, or are corresponding angles (by the corresponding angles postulate), you can indeed determine the measure of this angle without a protractor. Additionally, another example is that if you knew a pair of angles were either supplementary angles, complementary angles, or a linear pair, and you were given the measure of one of these angles, you could determine the measure of the other angle without a protractor. Therefore, it depends on the angle you're looking at.


How do you work out an angle?

With the information given in the question, the only answer that I can offer is that you measure it, using a protractor.


What is the measure of an angle using a protractor?

A protractor is a tool that may be used to measure an angle. The measure of the angle exists irrespective of the tool that is used to measure it. In the same way that you have a height and your height is a [mainly] fixed amount and whether it is measured with a rule or a tape measure or a laser range finder does not affect your height!


How do you find a 30 degree angle without a protractor?

It is easy to draw an equilateral triangle without a protractor. That gives a 60 degree angle. It is then simply a matter of bisecting the 60 degree angle, using an unmarked rule and compass, to get a 30 degree angle.


How can you measure angles without using a protractor?

The answer will depend on what other information you have. If, for example, the angle is in a triangle, and you know the lengths of all three sides, you can use the cosine rule.