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Sum of Angles of a Triangle

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Question

Fill in the following blanks :
In every triangle, an exterior angle + adjacent interior angle = ______ degrees.

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Solution

The sum of exterior angles and adjacent interior angle always forms a linear pair so the sum is always equal to $180 °$

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Q. Fill in the blanks to make the following statements true:

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

(ii) An exterior angle of a triangle is equal to the two ....... opposite angles.

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

(iv) A triangle cannot have more than ...... right angles.

(v) A triangles cannot have more than ......obtuse angles.

Q. In Fig., ∠CBX is an exterior angle of ∆ABC at B. Name

(i) the interior adjacent angle
(ii) the interior opposite angles to exterior ∠CBX.
Also, name the interior opposite angles to an exterior angle at A.

Fill in the following blanks :

In every triangle, the sum of (interior) angles of a triangle = __________ right angles.

Q. Fill up the blanks to make the statement true:

An exterior angle of a triangle is always ____________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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Sum of Angles of a Triangle

Standard VII Mathematics

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