Q. 14.4( 5 Votes )

Fill up the blanks to make the following statements true:

(a) Sum of the angles of a triangle is _________

(b) An exterior angle of a triangle is equal to the sum of _________ opposite angles.

(c) An exterior angle of a triangle is always _________ than either of the interior opposite angles.

(d) A triangle cannot have more than _________ right angle.

(e) A triangle cannot have more than _______ obtuse angle.

Answer :

(a) Sum of the angles of a triangle is 180° which is stated by the angle sum property of the triangle.


(b) An exterior angle of a triangle is equal to the sum of the interior opposite angles which is the exterior angle property of a triangle.


(c) An exterior angle of a triangle is always larger than either of the interior opposite angles. This is because an exterior angle of a triangle is equal to the sum of the interior opposite angles.


(d) A triangle cannot have more than one right angle. This is because the sum of the angles of a triangle is 180° if two angles will be 90° then the third angle will be 0° which is not possible.


(e) A triangle cannot have more than one obtuse angle. This is because the sum of the angles of a triangle is 180° if two angles will be more than 90° then the sum will exceed 180°.


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