Q. 265.0( 2 Votes )

State ‘True’ or ‘false’:

(i) A triangle can have two right angles.

(ii) A triangle cannot have two obtuse angles.

(iii) A triangle cannot have two acute angles.

(iv) A triangle can have each angle less than 60°.

(v) A triangle can have each angle equal to 60°.

(vi) There cannot be a triangle whose angles measure 10°, 80° and 100°.

Answer :

(i) False


Because, sum of angles of triangle equal to 180°.In a triangle maximum one right angle.



(ii) True


Because, obtuse angle measures in 90° to 180° and we know that the sum of angles of triangle is equal to 180°.



(iii) False


Because, in an obtuse triangle is one with one obtuse angle and two acute angles.



(iv) False


If each angles of triangle is less than 180° then sum of angles of triangle are not equal to 180°.


Any triangle,


1 + 2 + 3 = 180°


(v) True


If value of angles of triangle is same then the each value is equal to 60°.


1 + 2 + 3 = 180°


1 + 1 + 1 = 180°[1 = 2 = 3]


3 1 = 180°


1 = 60°


(vi) True


We know that sum of angles of triangle is equal to 180°.


Sum of angles,


= 10° + 80° + 100°


= 190°


Therefore, angles measure in (10°, 80°, 100°) cannot be a triangle.


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