Question

60${}^o$, 20${}^o$ and 90${}^o$. Can they form a triangle?

• A. No
• B. Yes
• C. Sometimes
• D. None of these

Answer 1

The correct option is A No

The given angles are ${60}^o,{20}^o$ and ${90}^o.$

Let $\angle A={60}^o,\angle B={20}^o$ and $\angle C={90}^o.$

Sum of $3$ angles $=\angle A+\angle B+\angle C$

$={60}^o+{20}^o+{90}^o$

$={170}^o$

We know that, sum of three interior angles of triangle is ${180}^o.$

The given angles cannot satisfy this property of triangle.

$\therefore$ ${60}^o,{20}^o$ and ${90}^o$ cannot form a triangle.