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

you need to show the graph

step-by-step explanation:

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls