Q. 63.8( 24 Votes )

In figure 2.26, if line Q line R and p is their transversal and if a = 80° find the values of f and g.


Answer :

Given line Q line R and p is their transversal. and a = 80°

To find: values of F and G.


a = 80°


a = c = 80° (vertically opposite angle)


c + f = 180° (angle made on the same side of parallel lines are supplementary means their sum is 180°)


80° + f = 180°


f = 180 = 80


f = 100 °


f + g = 180° ° (linear pair angle) means that linear pair is a pair of adjacent, supplementary angle. Adjacent means next to each other, and supplementary means that measures of the two angles add up to equal 180.)


100 + g = 180


g = 180-100


g = 80°


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