Can a triangle have two obtuse angles? Give reason for your answer.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(NO) An angle whose measure is more than $90^{\circ}$ but less than $180^{\circ}$ is called an obtuse angle.
$A$ triangle cannot have two obtuse angles because the sum of all the interior angles of a triangle is always exactly $180^{\circ}$.
If a triangle had two obtuse angles,the sum of these two angles alone would be greater than $90^{\circ} + 90^{\circ} = 180^{\circ}$.
Since this sum exceeds the total angle sum property of a triangle $(180^{\circ})$,it is impossible for a triangle to have two obtuse angles.

Explore More

Similar Questions

In $\Delta PQR$,$\angle P = 42^{\circ}$ and $\angle Q = 75^{\circ}$,then find $\angle R$. (in $^{\circ}$)

The difference between the supplementary angle and the complementary angle of any acute angle is............. (in $^{\circ}$)

In $\Delta ABC$,$\angle A + \angle B = 80^{\circ}$ and $\angle B + \angle C = 150^{\circ}$. Find the measure of each angle of $\Delta ABC$.

The measures of two vertically opposite angles are $(5x + 30^{\circ})$ and $(8x - 60^{\circ})$,then the value of $x = \dots$

In the figure,$DE \parallel QR$ and $AP$ and $BP$ are bisectors of $\angle EAB$ and $\angle RBA$ respectively. Find $\angle APB.$ (in $^{\circ}$)

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo