PPT-7.7.2 Complimentary and Supplementary Angles

Vocabulary Complimentary Angles When two angles add up to 90 Supplementary Angles When two angles add up to 180 Using Complimentary amp Supplementary Angles Vocabulary Review Acute Angle. M OUNT M ERU G AME L ODGE& S ANCTUARY Complimentary UpgradetoourMount MeruorMountKilimanjaroSuite. * Complimentary Fruits&Flowersinthe SuiteuponarrivalattheLodge. Complimentary BottleofSparklingWine s Mr. Peterson. CC standard 7.g.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to . write and solve simples equations for an unknown angle in a figure. . Simplify each expression.. 1.. . 90 –. . (. x . + 20). 2.. 180 – (3. x . – 10). Write an algebraic expression for each of the following.. 3.. 4 more than twice a number. 4.. 6 less than half a number. Identify the type of angle.. 1.. 70°. 2.. 90°. 3.. 140°. 4.. 180°. . acute. right. obtuse. straight. SPI 6.4.2: I will learn to understand relationships of angles. 8.3 Angle Relationships. Vocabulary. Definitions. Complementary angles – the sum of their measures is 90˚. Each angle is the compliment of the other. A. B. 32˚. 58˚. Definitions. Supplementary angles – the sum of their measures is 180˚. Vertical angles. Supplementary. Complimentary. Adjacent. Types of Angle PAIRS. Vertical angles. Supplementary. Complimentary. Adjacent. Why are the numbers the same COLOR?. Identify Angle Pairs. True or False?. Two Angles are Complementary if . and only if they . add up to 90 degrees (a Right Angle).. Definition of Complementary Angles. They don't have to be next to each other, just so long as the total is 90 degrees.. Mr. Peterson. CC standard 7.g.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to . write and solve simples equations for an unknown angle in a figure. . Essential Question. How can you describe angle pair relationships and use thee descriptions to find angle measures?. Objectives. Identify complementary and supplementary angles. Identify linear pairs and vertical angles. 9.10.15. Do Now. Define the following:. Acute angle. Straight angle. Right angle. Obtuse angle. Ray. Line. Line segment. How do you prove you are right?. Proving You . A. re Right. We write an explanation of our thinking or thought process.  . Lesson Aim: . How do we prove and apply theorems about . angles. ?.  . Lesson Objectives:. SWBAT . To prove and apply theorems about angle.. NYS Content Strand.  . G.PS.4. Construct various types of reasoning, arguments, justifications and methods of proof for problems.. Measure angles with a protractor. Identify and use the angle addition postulate. Warm-Up: . Find the indicated value. AC = 20; AB = _____. A. B. C. x-4. 2x 3. Vocabulary:. Degree:. The most common unit of angle measure.. 1. Warm UP: . If. . m. . 1 = 23 º and m. . 2 = 32 º, find the measures of all other angles.. Answers:. Adjacent, . Vertical, . Supplementary, and Complementary Angles. Adjacent angles are “side by side” and share a common ray.. adjacent angles. complementary angles. supplementary angles. Congruent angles. have the same measure.. Vertical angles. are formed opposite each other when two lines intersect. Vertical angles have the same measure, so they are always congruent..