Q. 54.7( 3 Votes )

In figure 5.18 if

Answer :

Given:


x + y = p + q


Theory


A ray possesses 360° when its to original position.


Taking the ray OB


x + y + p + q


Forms out a complete circle


Hence;


x + y + p + q = 360°


If x + y = p + q


Then


(x + y) + (p + q) = 360°


(x + y) + (x + y) = 360°


2(x + y) = 360°


(x + y) = = 180°


OA and OB are rays joint at O and angle possesses by them x and y sums to 180°


Then


AB is a straight line


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