As we know the sum of two adjacent angles is $180 °$ and formed linear pair but if their are three angles and sum is $180 °$ its could be linear pair or not?

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Solution

A linear pair angles are two adjacent angle whose sum is $180 °$ and form a straight line.But if their are three angles and sum is $180 °$ then it is not necessary that it is a linear pair.
As we know in the triangle there are three angle and sum of angles is $180 °$ .So they can be a supplementary angles not necessary a linear pair as they will not always form straight line.

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Similar questions

Fill in the blanks so as to make the following statements true:
(i) If one angle of a linear pair is acute, then its other angle will be___.
(ii) A ray stands on a line, then the sum of the two adjacent angles so formed is ___.
(iii) If the sum of two adjacent angles is $180^{\circ}$ , then the ___ arms of the two angles are opposite rays.

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

(i) If one angle of a linear pair is acute, then its other angle will be ........
(ii) A ray stands on a line, then the sum of the two adjacent angles so formed is ..........
(iii) If the sum of two adjacent angles is 180°, then the ........ arms of the two angles are opposite rays.

Draw the pairs of angles as described below.If that is not possible, say why.

(i) Complementary angles that are not adjacent.

(ii) Angles in a linear pair which are not supplementary.

(iii) Complementary angles that do not form a linear pair.

(iv) Adjacent angles which are not in a linear pair.

(v) Angles which are neither complementary nor adjacent.

(vi) Angles in a linear pair which are complementary.

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures $90^{\circ}$ .
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure $90^{\circ}$ .

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.

(ii) If two angles are supplementary, then the sum of their measures is _______.

(iii) Two angles forming a linear pair are _______.

(iv) If two adjacent angles are supplementary, they form a _______.

(v) If two lines intersect at a point, then the vertically opposite angles are always _______.

(vi) If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______.

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As we know the sum of two adjacent angles is180°and formed linear pair but if their are three angles and sum is 180° its could be linear pair or not?

As we know the sum of two adjacent angles is $180 °$ and formed linear pair but if their are three angles and sum is $180 °$ its could be linear pair or not?