1、空白演示在此输入您的封面副标题1.学习补角的概念相加等于180的两个角互为补角2.能利用补角的性质求未知角3.学习余角的概念相加等于90的两个角互为余角M.G.2.1 Identify angles as adjacent,vertical,complementary and supplementary.Objective-Students will identify angles as complementary and supplementary and solve problems with an unknown angle from given information about th
2、em by finding a missing angle and scoring an 80%proficiency on an exit slip.Quick Check!1)On your whiteboards,show me what a pair of complementary angles look like and how many degrees they measure.2)Now,show me on your whiteboards,what a pair of Supplementary angles look like and how many degrees t
3、hey measure.Supplementary angles add up to 180.6012040140Adjacent and Supplementary AnglesSupplementary Anglesbut not AdjacentComplementary angles add up to 90.60304050Adjacent and Complementary AnglesComplementary Anglesbut not AdjacentRemember our ObjectiveStudents will identify angles as compleme
4、ntary and supplementary and solve problems with an unknown angle from given information about them by finding a missing angle and scoring an 80%proficiency on an exit slip.Remember:Two angles are supplementary if the sum of their measures is 180 degrees.Each angle is the supplement of the other.1220
5、160These are supplements of each other because their angles add up to 180.3 STEPS for Finding Missing Angles:1)First,create an addition equation by adding both angles.1)The sum of the two angles will equal 90 for Complementary Angles and 180 for Supplementary Angles.3)Solve the equation using the in
6、verse rules!ThinkPair ShareHow are angles part of our outside world?If there were no angles,how do you think our world would be different?What other subjects can you make connections with that also useAngles?xExample 1 Find the value of x by making an equation.x+=18020 x=16020 xExample 2 Find the va
7、lue of x by writing your equation.65x+=18065x=115Two angles are complementary if the sum of their measures is 90 degrees.Each angle is the complement of the other.123060These are complements of each other because their angles add up to be 90.Example 3 Find the value of x.x15x+=9015x=751235Are angles
8、 4 and 5 supplementary angles?Are angles 2 and 3 complementary angles?Are angles 2 and 1 complementary angles?Are angles 4 and 3 supplementary angles?nonoyesyesNow,think of what we talked about today.4Vertical Angles are the angles opposite each other when two lines crossFOLDABLE ON ANGLES:Measures
9、less than 90 degreesMeasures exactly90 degreesMeasures more than 90 degrees and less than 180 degrees.Measures exactly180 degreesTwo angles that share a same side and same vertexTwo angles whose sum is equal to90 degreesTwo angles whose sum is equal to 180 Degrees.ExamplesExamplesExamplesExamplesExa
10、mplesExamplesExamplesExample 4 Find the value of x.(4x+3)(x-8)(4x+3)+(x-8)=90 x=195x-5 =905x=95Example 5 Find the value of x.(7x 10)3x(7x+10)+3x =18010 x+10 =18010 x=170 x=171235Are angles 1 and 2 a linear pair?Are angles 1 and 3 adjacent angles?Are angles 2 and 3 adjacent angles?Are angles 3 and 4
11、a linear pair?nonoyesyesThink back to last class4RememberStudents will identify angles as complementary and supplementary and solve problems with an unknown angle from given information about them by finding a missing angle and scoring an 80%proficiency on an exit slip.Figure 1find the missing angles you may use a protractor to draw it!XZQSTVY405040RSFigure 2:find the missing angles you may use a protractor to draw it!ACFDBEG20 xyzwFigure 3NMX-25LPQR454520P-45
