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