The three angles of a quadrilateral are respectively equal to 110°, 50° and 40°.

Question:

The three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.

Solution:

Let $x$ be the the fourth angle.

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

$110^{\circ}+50^{\circ}+40^{\circ}+x=360^{\circ}$

$\Rightarrow 200^{\circ}+x=360^{\circ}$

$\Rightarrow x=160^{\circ}$

$\therefore$ The fourth angle is $160^{\circ}$.

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now