Vertical+Angles+Theorum,+7

VERTICAL ANGLES THEOREM Period 7 Emma Robertson, Lauren Langdon, Cori Mroz, Carrie Hudson


 * Vertical Angles Theorem:** //if two angles are vertical angles, then they have equal// measures.http://library.thinkquest.org/2647/geometry/angle/proof2.htm

PRACTICE PROBLEMS! Solve the following problems and give a reason for each step. 1. (click on photo to go to source.)

2. (Click on photo to go to source)

ANSWERS TO PRACTICE PROBLEMS! 1. (click on photo to go to source.)

(click on photo to go to source)
 * 2. [[image:Picture_5.png link="http://hotmath.com/hotmath_help/topics/vertical-angles-theorem.html"]]**

=1.= Using the below diagram, What is the value of x?

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2. Using the below diagram, What is the value of x?

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Solution 1: By using vertical angle theorem, 5X – 5 = 2x + 97 Add 5 to both sides 5X – 5 + 5 = 2x + 97 + 5 5X = 2x + 102 Subtract 2x from both sides. 5x – 2x = 2x – 2x + 102 3x = 102 Divide by 3 both sides. X = 34 Therefore, **∠x = 34° .**

Solution 2: By using vertical angle theorem, 2X + 5 = 105 Subtract 5 from both sides 2X + 5 - 5 = 105 - 5 2X = 100 Divide by 2 both sides. X = 50 Therefore, **∠x = 50° .** Vericle Angle problems: Use the theorem that vertical angles are congruent to find the value of x in the problems below. 1. What is the m˂ B on the problem below? 

2. What is the value of x in this equation?



Answers: 1. angle B is 130 degrees 2. x-2=133  x-2+2=133+2  x=135  135-2  133=133  133 is the answer

[] <span style="color: #ff00ff; display: block; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: small;"> <span style="color: #ff00ff; display: block; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: small;"> <span style="color: #ff00ff; display: block; font-family: 'Palatino Linotype','Book Antiqua',Palatino,serif; font-size: small;">Vertical Angles Theorem: Gabi Lukens, Holli Hogge, Kelly Love, Madi Schieber You guys need to create another page and name it "Vertical Angles Theorem, (& then your period #)." Mrs. Clark told us to do this in class. It is to make it easier when grading and differentiating what pages goes to what group. ---Vertical Angles Theorem Group, Period 7