Q. 24.4( 45 Votes )

In figure 2.6, li

Answer :

Given line P line Q and line L and M are transversal.


To find: a, b, c d.


Construction: extend G and E in answer diagram.


a + e = 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°.


a + 110° = 180° (given)


a = 180° -110°


a = 70°



a g (vertically opposite angles formed are congruent


a = 70° (prove above)


70° g


Line P || line Q and line L transversals (given)


g = b (corresponding angles)


b = 70°


Line P || line Q and line M is transversal (given)


c f (corresponding angles) if two parallel line are cut by a transversal, then the pairs of corresponding angle are congruent.


So, f = 115° (given)


Then, c = 115°


d + f = 180° (linear pair angle)


d + 115° = 180° (given)


d = 180° -115°


d = 65°


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