AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

State True/False.

There cannot be two obtuse angles in a triangle.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Here, we have to find whether there can be two obtuse angles in a triangle or not.
Obtuse angles are those that have a measure more than

90 °

but less than

180 °

.
The sum of angles of a triangle is always 180 degrees.
For example:
Let’s assume that the three angles of a triangle are

110 °, 100 °, and 60 °

respectively in which

110 ° and 100 °

are obtuse angles.
By angle sum property of a triangle, the sum of all the angles should be

180 °

⇒ 110 ° + 100 ° + 60 ° ⇒ 270 °

As we can see that, the sum of all the angles is not

180 °

.
Therefore, it is not possible for a triangle to have more than one obtuse angle as the sum of all the angles of a triangle should always be

180 °

.
Thus, the given statement is true.
Hence, option (1) is correct.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!