Answer:
1. (d) adjacent angles
2. (b) vertical angles
Explanation:
You want the name of the relation between the angles in the given figures.
1. Adjacent angles
Adjacent angles have a common vertex and a shared side. They have no shared interior points.
Angles 'a' and 'b' are adjacent angles, choice D.
2. Vertical angles
Vertical angles (also called "opposite angles") share a vertex and are formed from opposite rays. You will see pairs of vertical angles wherever lines cross.
Angles 'a' and 'b' are vertical angles, choice B.
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Additional comment
This is essentially a vocabulary question. It is useful to learn the definitions of the terms used in math and geometry problems, as this aids immensely in understanding.
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