Mathematics

# In figure, which one of the following is not true ?

$\angle 2+\angle 3=180^o$

##### SOLUTION
Given, $PQ$ parallel to $RS$ and line $l$ is a transversal.
$\therefore \angle 2+\angle 5=180^0$   (1).....[ Co-interior angles=supplementary angles ]
$\angle 3+\angle 8=180^0$    (2) ..... [ Co- interior angles=supplementary angles ]
$\angle 1=\angle 2$   (3)..... [ Vertically opposite angles ]
$\therefore \angle 1+\angle 5=180^o$ [ By equation (1) and (3)]
$\angle 2=\angle 3$ [ Alternate interior angles ]
However, $\angle 2 +\angle 3=180^o$ cannot be true.
Hence, option $D$ is correct.

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Single Correct Medium Published on 09th 09, 2020
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