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

120°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

90°

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

60°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
90°

The ratio of the angles is given to be 1 : 2 : 3.
We know that sum of all interior angles of a triangle is $180^{\circ}$ .

Let the angles be x, 2x, and 3x.

Now, $x + 2 x + 3 x = 180^{\circ}$
$\Rightarrow 6 x = 180^{\circ}$
$\Rightarrow x = 30^{\circ}$

$∴$ Measure of the largest angle $= 3 x = 3 \times 30^{\circ} = 90^{\circ}$

Suggest Corrections

Similar questions

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

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

Q. If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.

The angles of a triangle are in the ratio $1 : 2 : 3.$ The measure of the largest angle is
(a) $30^{\circ}$
(b) $60^{\circ}$
(c) $90^{\circ}$
(d) $120^{\circ}$

Q. The angles of a triangle are in the ratio of

3 : 5 : 7.

What is the measure of the largest interior angle of the triangle?

Join BYJU'S Learning Program

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

The correct option is B 90° The ratio of the angles is given to be 1 : 2 : 3. We know that sum of all interior angles of a triangle is 180∘. Let the angles be x, 2x, and 3x. Now, x+2x+3x=180∘ ⇒6x=180∘ ⇒x=30∘ ∴ Measure of the largest angle =3x=3×30∘=90∘