2 Answers

Rafael Chagas · Answer 1 · 2019-12-15T11:22:48+0000

In this question, angle 5 and angle 2 are linear pair. And angles of linear pair are supplementary angles .

Therefore

$\angle 5 + \angle 2=180$

And sum of interior angles of a triangle is 180 degree, that is

$\angle 1 + \angle 2 + \angle 3 =180$

SInce both the equations have 180 in the right side, left side of both equations are equal too . That is

$\angle 5 + \angle 2 = \angle 1 + \angle 2 + \angle 3$

Which gives

$\angle 5=\angle 1 + \angle 3$

So the correct option is A .

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