90 likes | 216 Views
(over Lesson 3-4). 1-1a. Slide 1 of 1. (over Lesson 3-4). 1-1b. Slide 1 of 1. §3.5 Complementary and Supplementary Angles. What You'll Learn. You will learn to identify and use Complementary and Supplementary angles. E. D. A. 60 °. 30 °. F. B. C.
E N D
(over Lesson 3-4) 1-1a Slide 1 of 1
(over Lesson 3-4) 1-1b Slide 1 of 1
§3.5 Complementary and Supplementary Angles What You'll Learn You will learn to identify and use Complementary and Supplementary angles
E D A 60° 30° F B C §3.5 Complementary and Supplementary Angles Two angles are complementary if and only if (iff) the sum of their degree measure is 90. mABC + mDEF = 30 + 60 = 90
E D A 60° 30° F B C §3.5 Complementary and Supplementary Angles If two angles are complementary, each angle is a complement of the other. ABC is the complement of DEF and DEF is the complement of ABC. Complementary angles DO NOT need to have a common side or even the same vertex.
I 75° 15° H P Q 40° 50° H S U V 60° T 30° Z W §3.5 Complementary and Supplementary Angles Some examples of complementary angles are shown below. mH + mI = 90 mPHQ + mQHS = 90 mTZU + mVZW = 90
D C 130° 50° E B F A §3.5 Complementary and Supplementary Angles If the sum of the measure of two angles is 180, they form a special pair of angles called supplementary angles. Two angles are supplementary if and only if (iff) the sum of their degree measure is 180. mABC + mDEF = 50 + 130 = 180
I 75° 105° H Q 130° 50° H S P U V 60° 120° 60° Z W T §3.5 Complementary and Supplementary Angles Some examples of supplementary angles are shown below. mH + mI = 180 mPHQ + mQHS = 180 mTZU + mUZV = 180 and mTZU + mVZW = 180