(i) No,
Two right angles would up to 180° so the third angle becomes zero. This is not possible. Therefore, the triangle cannot have two right angles.
(ii) No,
A triangle can’t have two obtuse angles as obtuse angle means more than 90°. So, the sum of the two sides exceeds more than 180° which is not possible. As the sum of all three angles of a triangle is 180°.
(iii) Yes,
A triangle can have two acute angle as acute angle means less than 90°.
(iv) No,
Having angles more than 60° make that sum more than 180° which is not possible as the sum of all angles of a triangle is 180°.
(v) No,
Having all angles less than 60° will make that sum less than 180° which is not possible as the sum of all angles of a triangle is 180°.
(vi) Yes,
A triangle can have three angles equal to 60° as in this case the sum of all three is equal to 180° which is possible. This type of triangle is known as equilateral triangle.
