Question

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 1

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°.

Step-by-step 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°.