Fill in the blanks to make the following statements true: Sum of the angles of a triangle is ............ An exterior angle of a triangle is equal to the two ............ opposite angles. An exterior angle of a triangle is always ............ than either of the interior opposite angles. A triangle cannot have more than ............ right angles. A triangles cannot have more than ............ obtuse angles.

Explanation

(i) Sum of the angles of a triangle is `180^@`.
As we know, that according to the angle sum property, sum of all the angles of a triangle is `180^@`
.(ii) An exterior angle of a triangle is equal to the two interior opposite angles.
(iii) An exterior angle of a triangle is always greater than either of the interior opposite angles.As according to the property: An exterior angle of a triangle is equal to the sum of two interior opposite angles. Therefore, it has to be greater than either of them.
(iv) A triangle cannot have more than one right angle.
As the sum of all the angles of a triangle is `180^@`. So, if the triangle has more than one right angle the sum would exceed `180^@`.
(v) A triangle cannot have more than one obtuse angle.
As the sum of all the angles of a triangle is `180^@`.So, if the triangle has more than one obtuse angle the sum would exceed `180^@`.