A quadrilateral has three acute angles each measures 80°.

Question:

A quadrilateral has three acute angles each measures 80°. What is the measure of the fourth angle?

Solution:

Let $x$ be the fourth angle.

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

$80^{\circ}+80^{\circ}+80^{\circ}+x=360^{\circ}$

$\Rightarrow 240^{\circ}+x=360^{\circ}$

$\Rightarrow x=120^{\circ}$

$\therefore$ The fourth angle is $120^{\circ}$.

Leave a comment

Close
faculty

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