Question

Which of the following pair of angles will make obtuse angle when added together ?

• A.
• B.
• C.
• D. None of the above

Answer 1

Answer: (A), (B), (C)

We know obtuse angles are those angles that measure greater than ${90}^o$ and less than ${180}^o$.

$\therefore$ If the sum of both the angles is greater than ${90}^o$ but less than ${180}^o$, then that pair will make an obtuse angle.

In option$\left(a\right)$,
${45}^o+{50}^o={95}^o$ which is greater than ${90}^o$ and less than ${180}^o$.

In option$\left(b\right)$,
${120}^o+{50}^o={170}^o$, this is also an obtuse angle.

And, in option $\left(c\right)$,
${120}^o+{58}^o={178}^o$, this is also an obtuse angle.

Hence, option $\left(a\right)\left(b\right)\text{and}\left(c\right)$ are correct.