M G 2 1 Identify angles as adjacent

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 them 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 they measure.

Supplementary angles add up to 180º. 40º 120º 60º Adjacent and Supplementary Angles 140º Supplementary Angles but not Adjacent

Complementary angles add up to 90º. 30º 40º 60º Adjacent and Complementary Angles 50º Complementary Angles but not Adjacent

Remember our Objective… identify angles as complementary and supplementary and solve problems with Students will 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. 1 These are supplements of each other because their angles add up to 180. 2

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 inverse rules!

Think…Pair… Share… How 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 use Angles?

Example 1 an equation. Find the value of x by making

Example 2 Find the value of x by writing your equation.

Two angles are complementary if the sum of their measures is 90 degrees. Each angle is the complement of the other. 1 These are complements of each other because their angles add up to be 90. 2

Example 3 Find the value of x.

Now, think of what we talked about today. 1 5 2 4 3 Are angles 4 and 5 supplementary angles? no Are angles 2 and 3 complementary angles? no Are angles 4 and 3 supplementary angles? yes Are angles 2 and 1 complementary angles? yes

FOLDABLE ON ANGLES: Exam ples Exam les Measures less than Measures exactly 90 degrees les ples Measures more than 90 degrees and less than 180 degrees. Vertical Angles are the angles opposite each other when two lines cross Examples Examp Two angles whose sum is equal to 90 degrees Measures exactly Examp 180 degrees Two angles that share a same side and same vertex Two angles whose sum is equal to 180 Degrees. les Examples

Example 4 Find the value of x.

Example 5 Find the value of x.

Think back to last class… 1 5 2 4 3 Are angles 1 and 2 a linear pair? no Are angles 1 and 3 adjacent angles? no Are angles 3 and 4 a linear pair? yes Are angles 2 and 3 adjacent angles? yes

identify angles as complementary and supplementary and solve Remember…Students will 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 1 find the missing angles you may use a protractor to draw it! T X R Q V S Z Y S

Figure 2: find the missing angles you may use a protractor to draw it! E A B w z x y G C F D

Figure 3 P N X - 25° Q R M P- 45° L