Download presentation

Presentation is loading. Please wait.

Published byLuke Manning Modified over 4 years ago

1
**Complementary Angles have measures that add up to 90°.**

Ch 2 Sect 3 Complementary and Supplementary Angles Complementary Angles have measures that add up to 90°. Supplementary Angles have measures that add up to 180°. 1

2
Ch 2 Sect 3 Complementary and Supplementary Angles Adjacent Angles share a vertex and a side but do not share any interior points. (next-door neighbors ) 2

3
**Because 22° + 158° = 180°, the angles are supplementary.**

Example 1 Identify Complements and Supplements Determine whether the angles are complementary, supplementary, or neither. a. b. c. SOLUTION a. Because 22° + 158° = 180°, the angles are supplementary. b. Because 15° + 85° = 100°, the angles are neither complementary nor supplementary. c. Because 55° + 35° = 90°, the angles are complementary. 3

4
Checkpoint Identify Complements and Supplements Determine whether the angles are complementary, supplementary, or neither. 1. ANSWER neither 2. ANSWER complementary 3. ANSWER supplementary

5
**A is a complement of C, and mA = 47°. Find mC. a.**

Example 3 Measures of Complements and Supplements A is a complement of C, and mA = 47°. Find mC. a. b. P is a supplement of R, and mR = 36°. Find mP. SOLUTION a. A and C are complements, so their sum is 90°. b. P and R are supplements, so their sum is 180°. mA + mC = 90° mP + mR = 180° 47° + mC = 90° mP + 36° = 180° 47°+ mC – 47° = 90° – 47° mP + 36° – 36° = 180° – 36° mC = 43° mP = 144° 5

6
**B is a complement of D, and mD = 79°. Find mB. 4.**

Checkpoint Measures of Complements and Supplements B is a complement of D, and mD = 79°. Find mB. 4. ANSWER 11° 5. G is a supplement of H, and mG = 115°. Find mH. ANSWER 65°

7
**Tell whether the numbered angles are adjacent or nonadjacent.**

Example 2 Identify Adjacent Angles Tell whether the numbered angles are adjacent or nonadjacent. a. b. c. SOLUTION a. Because the angles do not share a common vertex or side, 1 and 2 are nonadjacent. b. Because the angles share a common vertex and side, and they do not have any common interior points, 3 and 4 are adjacent. c. Although 5 and 6 share a common vertex, they do not share a common side. Therefore, 5 and 6 are nonadjacent. 7

8
Ch 2 Sect 3 Find k. 2k 3k + 10

9
Ch 2 Sect 3 Name a straight angle. Name 2 congruent supplementary angles. Name 2 angles that are supplementary but not congruent. Name 2 complementary angles.

10
Ch 2 Sect 3 Homework: Page #1-24 and #35

Similar presentations

Presentation is loading. Please wait....

OK

Angle Relationships.

Angle Relationships.

© 2018 SlidePlayer.com Inc.

All rights reserved.

By using this website, you agree with our use of **cookies** to functioning of the site. More info in our Privacy Policy and Google Privacy & Terms.

Ads by Google

Ppt on conservation of momentum experiment Ppt on electricity for class 10th exam Ppt on art and craft movement artists Ppt on forward rate agreement Ppt on sound navigation and ranging system of a down Ppt on rural entrepreneurship View ppt on mac Ppt on network switching infrastructure Ppt on world book day dress Ppt on abstract nouns