Answer: The correct option is the third one. Angle 1 and Angle 2 are adjacent angles.
Step-by-step explanation: A brief explanation of Supplementary angles, Complementary angles, Equivalent angles and Adjacent angles would be very useful in answering this question.
Adjacent angles are two angles that are formed when a line cuts a vertex, thereby causing both angles newly formed to have the same vertex, and the same side(s). A vertex is the endpoint that is formed when two lines meet and form an angle. Both angles 1 and 2 do not have to two equal halves, but it is sufficient that they both are formed in the same vertex and they share the same side(s).
Supplementary angles are two angles that add up to 180 degrees. This is mostly found on straight lines, when another line cuts through the straight line, both angles formed are supplementary (angles on a straight line equals 180 degrees).
Two angles are called complementary when they both add up to 90 degrees. This is mostly observed in a right angled triangle, where one angle is always equal to 90 degrees then the other two angles must add up to 90 degrees and they are described as complementary (sum of angles in a triangle is equal to 180). The angles do not necessarily have to be next to each other (although sometimes they are next to each other). The question does not tell if the angle ABD is a right angle, so we cannot tell for sure that angle 1 and angle 2 are complementary.
Equivalent angles as the name implies are two angles that have the same measurement. This is more applicable to angles in different plane shapes (for instance angles in two congruent triangles). This does not apply to the description of the angles as stated in the question.
