Angle 1 and angle 2 are

complementary and vertical angles

, Not Selected
Incorrect answer:

adjacent and supplementary angles

adjacent and complementary angles

, Not Selected

supplementary and vertical angles

Which is the measure of <1?

150°

, Not Selected
Incorrect answer:

30°

330°

, Not Selected

60°

, Not Selected

, Not Selected

Which is the measure of <3?

30°

, Not Selected

150°

, Not Selected

330°

, Not Selected
Incorrect answer:

60°

Correct answer:

60°

To determine if angle 1 and angle 2 are complementary and vertical angles, we need to understand the definitions of these angle relationships.

1. Complementary angles: Two angles are said to be complementary if the sum of their measures is 90 degrees.

2. Vertical angles: When two lines intersect, they form four angles opposite each other. These opposite angles are called vertical angles, and they have equal measures.

Now, let's analyze each option:

1. Adjacent and supplementary angles: Adjacent angles are two angles that share a common vertex and a common side but do not overlap. Supplementary angles are two angles whose sum is 180 degrees. This option does not match the given information.

2. Adjacent and complementary angles: As mentioned above, adjacent angles share a common vertex and side. Complementary angles have a sum of 90 degrees. This option does not match the given information.

3. Supplementary and vertical angles: While vertical angles have equal measures, supplementary angles have a sum of 180 degrees. This option does not match the given information.

From the given information, we were not given any angles measures or sum, so we cannot determine if angle 1 and angle 2 are complementary and vertical angles.