Answer to Question #97384 in Geometry for Cyng

Question

What is a linear angle?

Answer 1

Solution:

A linear pair of angles can be formed if two straight lines intersect.

From the figure, A and B is a linear pair of angles

(i) Linear angles have a common vertex

(ii) A and B are adjacent angles

(iii) A and B is a linear pair of angles, so they add up to $180^ o$

(iv) But, all adjacent angles will not form a linear pair.

It is required that

$$\angle A + \angle B = 180^{\circ}$$

If we know any of these two angles, we can find the other one.

If one angle is a right angle, then the other one is a right angle too.