If the sum of the two angles of a quadrilateral is 180°.

Question:

If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?

Solution:

Let $(x+y)$ be the sum of the remaining two angles.

Since, the sum of all the angles of a quadrilateral is $360^{\circ}$, we have :

$180^{\circ}+(x+y)^{\circ}=360^{\circ}$

$\Rightarrow(x+y)^{\circ}=180^{\circ}$

$\therefore$ The sum of the remaining two angles is $180^{\circ}$.

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