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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