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Question

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.

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Solution

(i)


(ii)
If the sum of the measures of two angles is 180° they are known as supplementary angles.
The sum of the measures of the angles in a linear pair is 180°.
Therefore, angles in a linear pair are always supplementary.

(iii)

(iv)

(v)

(vi)
If the sum of the measures of two angles is 180° they are known as supplementary angles.
The sum of the measures of the angles in a linear pair is 180°.
Therefore, angles in a linear pair are always supplementary.

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