# 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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