In a triangle, one angle is of 90°. Then

(i) The other two angles are of 45° each

(ii) In remaining two angles, one angle is 90° and other is 45°

(iii) Remaining two angles are complementary

In the given option(s) which is true?

Given: In triangle one angle is 90°

Formula Used/Theory:-

Sum of angles of triangle is 180°

⇒ Moving to 1^st option

The other two angles are of 45° each

This can be happen only if triangle is isosceles right angle Δ

∴ this can be but not necessary every time

⇒ Moving to 2^nd option

In remaining two angles, one angle is 90° and other is 45°

This cannot be possible because angle sum of triangle is beyond 180° which is not possible

⇒ Moving to 3^rd option

Remaining two angles are complementary

As one angle is 90° and sum of angles of triangle is 180°

∴ the sum of both angle is always 90°

∴ only 3^rd statement is correct.