A triangle can have:

Two obtuse angles
One acute angle and two right angles
Only one obtuse angle
Three angles each equal to 70°

Correct answer: Only one obtuse angle

Solution

In a triangle, the sum of interior angles is $180^\circ$. If one angle is obtuse, it is already greater than $90^\circ$, leaving less than $90^\circ$ for the other two angles combined. Therefore, a triangle can have only one obtuse angle.

Related SSC CGL (Prelims) General questions

Two right-angled triangular panels, LMN and PQR, have $\angle M = \angle Q = 90^\circ$. If the hypotenuse $LN$ equals $PR$ and side $LM$ equals $PQ$, are the triangles congruent? If so, by what rule?
In triangle PQR, medians PM and QN intersect at G. If the length of median PM is 15 cm, what is the length of segment PG?
If in $\triangle ABC$ and $\triangle DEF$, $AB = DE$, $\angle B = \angle E$, and $BC = EF$, which rule proves $\triangle ABC \cong \triangle DEF$?
In triangle $XYZ$, if the angle bisectors of $\angle Y$ and $\angle Z$ intersect at point $O$, and $\angle X = 70^\circ$, what is the measure of $\angle YOZ$?
Two triangles, $\triangle ABC$ and $\triangle DEF$, have $AB = DE$, $\angle ABC = \angle DEF$, and $BC = EF$. By which rule are they congruent?
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