Exercise 3 Page 538

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a First of all, since the angles share a common side and vertex, the angles are adjacent angles.

Additionally, the angles are adjacent along a straight line. This means their noncommon side are opposite rays. They can therefore be classified as a linear pair and supplementary angles as well.

b Since the angles share a common side and vertex, the angles are adjacent angles.

Other than that, there is no more classification we can do.

c Two angles are vertical angles when their sides form two pairs of opposite rays. From the figure we can see that this is the case, so the angles can be classified as vertical angles.

d First of all, since the angles share a common side and vertex, the angles are adjacent angles.

Additionally, the angles are adjacent along a right angle which means their measures add up to 90^(∘). They can therefore be classified as complementary angles as well.

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Exercises p.538-539

Exercise 3 Page 538

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