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In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

In the figure shown line AB is parallel to line CD Part A What is the measure of angle x Show your work 5 points Part B Explain how you found the measure of ang class=

Respuesta :

Answer:

x = 53

Step-by-step explanation:

AB ║ CD                         Given        

m ∠APQ = m ∠RQP = 62°       If parallel lines, then alternate interior angle =

  m ∠DRP + m ∠PRQ = 180°   These angles form a linear pair which = 180°

         115° + m ∠PRQ = 180°      Substitution

  m ∠PRQ = 65°                  Subtraction  

m Δ QPR = 180°                       Definition of triangle

m Δ QPR = m ∠PQR + m ∠QPR + m ∠PRQ    the sum of the angles of triangle

    180° =  62° +  x  + 65°

    180 =  127 +  x

    53 = x

     

   

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