Linear Pair of Angles Definition Geometry

Pair of Linear Angles - Byju's Math

Because we already know what angles are, let's concentrate on the linear pair of angles. Angles between two 180° line segments make a flat one. An even corner is just another way to display a line. It is possible to draw a line as a circular arc with an endless diameter.

Below is a line segment depicting AB and the two arrowheads at the end indicate a line.

Angles that are made at M are ?POB and ?POA. We know that the angles between the two line segment AO and OB are 180°, so POB and POA angles POB and POA angles POB and POA add up to 180°. The ?POB and POA are side by side and if the total of the neighboring angles is 180°, then such angles make a linear pair of angles.

Above mentioned discussions can be called axiom: If a beam is on a line, the neighboring angles make a linear pair of angles. All line sections in Fig. 2 above go through point O as shown. Since the beam OA-?- is located on the line sector CD the angles AOD and AOC make a linear pair.

Likewise, QOD and POD make a linear couple and so on. Quite the opposite of the given proposition is also the case, which can also be given as the following proposition: If two angles make a linear pair, then unusual branches of both angles make a linear line. Only the last one in the above illustration is a linear pair, since the total of the neighboring angles is 180°.

AB therefore constitutes a line. However, the other two angle couples are arranged next to each other but do not make a linear pair. They' re not a line. Both of the above named axes are the Linear Pair axes and are very useful in the solution of various arithmetic issues. There' a whole bunch more to be learned about angles and shapes.

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