Fill up the blanks to make the statement true:
An exterior angle of a triangle is always ____________than either of the interior opposite angles.

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Solution

According to the theorem which states that the exterior angle of a triangle is sum of interior opposite angles of the triangle.
Hence, Exterior angle must be greater than any of the interior opposite angles.
$∴$ An exterior angle of a triangle is always greater than either of the interior opposite angles.

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Similar questions

Fill up the blanks to make the following statements true:

(a) Sum of the angles of triangle is ___________.

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

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

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

An exterior angle of a triangle is always greater than either of the interior opposite angles.

Question 51

Fill in the blanks to make the statement true.

The sum of an exterior angle of a triangle and its adjacent angle is always ___.

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