Question

In a right angled triangle, if one of the other two angles is ${35}^o$, find the remaining angle.

Answer 1

In a right angled triangle, one angle is ${90}^o$ let the corresponding angle be denoted by $\angle A$

Given one of the angel other than ${90}^o$ is ${35}^o$ let it be denoted by $\angle B$

Using theorem, Sum of interior angles of a triangle is ${180}^o$ .

Hence $\angle A+\angle B+\angle C={180}^o$

$\Rightarrow {90}^o+{35}^o+\angle C={180}^o$

$\Rightarrow \angle C={180}^o-{125}^o$

$\Rightarrow \angle C={55}^o$