Question

Assertion : A triangle can have two obtuse angles. Reason : Sum of the three angles in a triangle is always 180°​

Answer 1

Answer:

False.  A triangle cannot have two obtuse angles.

Obtuse angle is an angle which has magnitude more than 90∘ . So adding that two angles only we will get 180∘ or more than that. ... Hence having two angle obtuse, construction of a triangle is not at all possible.

Answer 2

Given :

ASSERTION : A triangle can have two obtuse angles.

REASON : The sum of all the interior angles of a triangle is 180° ​

To Find : Comment on Assertion and Reason

Solution:

ASSERTION : A triangle can have two obtuse angles.

Obtuse angle are the angles whos measure are between 90° and 180°

If a triangle has two obtuse angles then sum of those two angles will be

between   (90° + 90° ) and ( 180° + 180°)

= between 180° and 360°

Hence sum of all the  angles of triangle would be greater than 180°

But Sum of all the angles of a triangle is 180°

Hence This is not possible

so Assertion is FALSE

REASON : The sum of all the interior angles of a triangle is 180° ​

TRUE

So correct answer is:  Reason is True but Assertion is False

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