High School

What is the difference between complementary and supplementary angles? What is the relationship between vertical angles? If an angle measures 57°, what is the measure of its complement, supplement, and vertical pair?

A. Complementary angles add up to 90°, supplementary angles add up to 180°, vertical angles are equal. Complement: 33°, Supplement: 123°, Vertical Pair: 57°

B. Complementary angles add up to 180°, supplementary angles add up to 90°, vertical angles are equal. Complement: 33°, Supplement: 123°, Vertical Pair: 57°

C. Complementary angles add up to 90°, supplementary angles add up to 180°, vertical angles are equal. Complement: 33°, Supplement: 123°, Vertical Pair: 57°

D. Complementary angles add up to 180°, supplementary angles add up to 90°, vertical angles are equal. Complement: 33°, Supplement: 123°, Vertical Pair: 57°

Answer :

Final answer:

Complementary angles add up to 90°, while supplementary angles add up to 180°. Vertical angles are always equal. An angle of 57° has a complement of 33°, a supplement of 123°, and its vertical angle is also 57°.

Explanation:

The difference between complementary angles and supplementary angles is as follows: Complementary angles are two angles whose measures add up to 90°, whereas supplementary angles are two angles whose measures add up to 180°. The relationship between vertical angles is that they are equal to each other. Therefore, if an angle measures 57°, its complement is 33° (since 90° - 57° = 33°), its supplement is 123° (since 180° - 57° = 123°), and the measure of its vertical pair is 57°.

The correct answer is a. Complementary angles add up to 90°,

supplementary angles add up to 180°, and vertical angles are equal.

Complement: 33°, Supplement: 123°, Vertical Pair: 57°.

Complementary angles are two angles whose measures add up to 90

degrees.

For example, if one angle measures 30°, the other angle must measure

60° because 30° + 60° = 90°.

Supplementary angles are two angles whose measures add up to 180

degrees.

For instance, if one angle measures 110°, the other angle must measure

70° because 110° + 70° = 180°.

Vertical angles are the angles opposite each other when two lines

intersect. They are always equal to each other.

For example, if two lines intersect and form angles of 57°, the vertical

angle to this will also be 57°.

If an angle measures 57°, let's find its complement, supplement, and

vertical pair:

  1. Complement (adds up to 90°): 90° - 57° = 33°
  2. Supplement (adds up to 180°): 180° - 57° = 123°
  3. Vertical pair: equal to the angle, so it is 57°