Question

Assertion : A triangle can have two obtuse angles.
Reason : Sum of the three angles in a triangle is always ${180}^{\circ }$
Which of the following is correct.

• A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
• B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
• C. If Assertion is correct but Reason is incorrect.
• D. If Assertion is incorrect but Reason is correct.

Answer 1

The correct option is D

If Assertion is incorrect but Reason is correct.

Explanation for the correct option:

Determining the correct statement using the properties of angles:

Assertion: A triangle cannot have two obtuse angles.
An obtuse angle is an angle that has a magnitude more than ${90}^{\circ }$ So adding that two angles only we will get ${180}^{\circ }$ or more than that.

Reason: Two angles can never be obtuse as the sum of all the angles of a triangle is ${180}^{\circ }$

Hence having two angles obtuse, the construction of a triangle is not at all possible.

Hence, option (D) is the correct answer.