Question

Can you have a triangle with two right angles?
can you have a triangle with two obtuse angles?

Answer 1

$\left(i\right)$As we know that a right angle is equal to ${90}^{\circ }$ so two right angles sum up to ${90}^{\circ }+{90}^{\circ }={180}^{\circ }$ but a triangle consists of three angles that sum up to ${180}^{\circ }$. Also, on other hand, no angle of a triangle can be $0^{\circ }$ so we can not have a triangle with two right angles.

$\left(ii\right)$As we know that an obtuse angle is grater than ${90}^{\circ }$ and smaller than ${180}^{\circ }$ so two obtuse angles sum more than ${180}^{\circ }$ $(suchthat{91}^{\circ }+{91}^{\circ }={182}^{\circ }).$ but a triangle consists of three angles that sum up to ${180}^{\circ }$. So we can not have a triangle with two obtuse angles.

Hence, this is the answer.