Question

A triangle can be constructed by taking two of its angles as:

• A. ${110}^o$, ${40}^o$
• B. ${70}^o$, ${115}^o$
• C. ${135}^o$, ${45}^o$
• D. ${90}^o$, ${90}^o$

Answer 1

The correct option is A ${110}^o$, ${40}^o$

As we know that the sum of all angles of a triangle is ${180}^o$.

A triangle can be constructed if the sum of two of its angles less than ${180}^o$.

So, here we can verify each option to check whether it satisfies above criterion :-

[Option A] $110+40=150$ degrees ( Less than $180$ degrees)

[Option B] $70+115=185$ degrees ( More than $180$ degrees)

[Option C] $135+45=180$ degrees ( Equals to $180$ degrees)

[Option D] $90+90=180$ degrees ( Equals to $180$ degrees)

Among the above given option, only option A has the sum of two angles less than $180$ degrees, which satisfies the criterion to construct a triangle.