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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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