Q

# In the given figure angle 1 and angle 2 are supplementary angles. If angle 1 is decreased, what changes should take place in angle 2 so that both the angles still remain supplementary.

6.  In the given figure, $\angle 1$ and $\angle 2$ are supplementary angles. If $\angle 1$ is decreased, what changes should take place in $\angle 2$ so that both the angles still remain supplementary.

Since it is given that $\angle 1$ and $\angle 2$ are supplementary angles, i.e. the sum of both angles is $180^{\circ}$.
Thus if $\angle 1$ is decreased then to maintain the sum $\angle 2$ needs to be increased.