State True/False.

Each angle in a triangle can be 60 degrees.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

As all the angles are equal
We need to proof that each angle in a triangle can be 60 degrees.
Let's consider a triangle ABC such that all the angles are equal.
Question Image

Then we have,

∠ A + ∠ B + ∠ C = 180 °

As all the angles are equal

⇒ ∠ A = ∠ B = ∠ C ⇒ ∠ A + ∠ A + ∠ A = 180 ° ⇒ 3 ∠ A = 180 ° ⇒ ∠ A = 60 ° ⇒ ∠ A = ∠ B = ∠ C = 60 °

Therefore, a triangle can have each angle equal to 60°.
Thus, the given statement is true.
Hence, option (1) is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!