Q6 of 23 Page 22

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.

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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