Questions tagged [angle]

An object formed by two rays joining at a common point, or a measure of rotation. In the latter form, it is commonly in degrees or radians. Please do not use this tag just because an angle is involved in the question/attempt; use it for questions where the main concern is about angles. This tag can also be used alongside (geometry).

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles.

Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.

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Prove the exterior angle bisectors are equal

Imagine a triangle with angles 132,36,12 I draw the exterior angles bisectors (132 and 12) I want to prove that these bisectors are equal... Please take a look to the figure I want to prove that AM'=CM I tried to use Stewart's theorem but I couldn't…
Alireza H
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Calculating supplementary angles from intersecting line with direction and line with gradient

Example image where I'd be interested in finding angles a and bA simulated robotic agent is travelling in an known direction heading relative to north as it hits (at for example, 30 degrees) a straight wall (speeed doesn't matter), of which two…
Anna.H
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How to show angles are equal in Young's experiment

Could someone explain to me why $\tan\theta\approx y/s$? I can follow the other approximations, but here I don't see it. I'm guessing we have similar triangles here, but I wouldn't really know how to show it. It seems to me that I have to make one…
Sha Vuklia
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Calculate the angle in the triangle

Currently stuck at this one: Triangle picture In the figure, AC = BC and DC = 0.5*AD. a) Calculate the angle A in the triangle BDA b) Create an appropriate for the side AC in meters(Chose an appropriate size for the side AC) and calculate the area…
Iggy
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How to calculate $\arccos (x)$?

how do i calculate for example $\arccos (2/\sqrt [2] 5)$ without calculator? I had some exercises with calculator and i could not find any good explanation for calculating per hand.
M.Mac
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Find the value of the angle X

I need to solve this problem, but I don't know where should I begin, is there someone who can help me solving this. The text says: Find the value of the angle painted with red (angle X) Thanks in advance.
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Arch angle needed. Have, radius, width, rise.

I use auto cad everyday, all day. I am trying to create a excel spreadsheet, where you can type in given information and receive missing information, rather than drawing out the arch. For example, 35.75" wide x 47.75" over all height and a leg…
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finding angle between one point and another point with ray

I'm trying to figure out the angle between the direction to an objective point relative to a player looking a certain direction. This will be used in making a direction indicator for a game. Here's a diagram made in Geogebra that shows the…
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Can I expand ABS() with OR/AND

I need check one condition regarding if the car is the similar (+/- 30 degrees) azimuth (compass direction) as the road. Azimuth is an integer [0..359], 0 mean North So if carAzimuth = 0 it is in the same general direction as other roads with…
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What does it mean when the values of direction range from -11 to >360?

I have a data file containing the direction of energy flux ranging from -0.192 to 6.335. I thought this was just the direction in radians and converted to degrees to find the values ranging from -11 to 363. Does this mean I just have to add/subtract…
Darkgod
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Get the angle from a set of 3 2D coordinates?

I was wondering how i would get the angle from a set of coordinates (x,y). I mean the inside angle that makes a triangle. For example, the points would be (2,5),(3,4), and (5,1)? I am trying to think of a general approach as I want to program it. As…
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What is a non-constant angle measurement?

I read in my textbook that radian is a constant angle. What does it mean for an angle to be constant? Are degree and grade constant angles as well? What angles are non-constant? PS : I'm just a beginner in angles, let me know if this is a silly…
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A rotation of 30 degree

What does it mean if an object moves 30 degree ? What will be its position now ? ( The concept of angles looks abstract to me. I cannot visualise it.) Thanks!
Sunny
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Bisector of angle between lines

enter image description here My attempt- (3x-6y-5)/3root(5)=(x+2y-11)/root(5) this gives 3y=7 but both my answer and the correct answer are not matching as well as it says that it contains (1,-3) which when substituted in the correct answer does not…
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Find Angle $TXU$

Find Angle TXU. I have tried to consider the kite MTXU, as well as tried to apply some circle angle laws, but have not been able to get angle TXU. Any help will be much appreciated, thanks in advance.