The angles of a triangle are in the ratio 2 : 3: 4. Find the measure of the largest angle of the triangle.

Open in App

Solution

$\begin{matrix} L e t t h e a n g l e o f t h e t r i a n g l e b e 2 x, 3 x a n d 4 x N o w, 2 x + 3 x + 4 x = 180 (s u m o f a l l a n g l e o f t h e t r i a n g l e i s 180^{\circ}) 9 x = 180 ∴ x = 20 N o w, l a r g e s t a n g l e i s 4 x = 4 \times 20 = 80 H e n c e, l a r g e s t a n g l e o f t h e t r i a n g l e i s 80^{\circ} . \end{matrix}$

Suggest Corrections

Similar questions

If the angles of a triangle are in the ratio 1 : 2 : 3, then the measure of the largest angle is ___.

The angles in a triangle are in the ratio 1:3:5. The measure of the largest angle is -

The measures of angles of a triangle are in the ratio $2 : 3 : 4$ . Find the angles.

What is the measure of the largest angle of a triangle whose angles are in the ratio 4 : 5 : 9?

Join BYJU'S Learning Program