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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