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)

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

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: