Answer:
s = 120
r = 33
t = 33
Step-by-step explanation:
You are solving for the variables r & t & s. Note that it is given that the two parallelograms are congruent with each other.
Make sure that they are facing the same way. Note that DC ≅ GH, AD ≅HE, FE ≅ AB
Solve:
DC ≅ GH; 70 = s - 50
Isolate the variable, note the equal sign, what you do to one side, you do to the other. Add 50 to both sides;
70 (+50) = s - 50 (+50)
s = 70 + 50
s = 120
Solve:
AD ≅ HE
2r = 66
Isolate the variable, divide 2 from both sides:
(2r)/2 = (66)/2
r = 66/2
r = 33
Solve:
FE ≅ AB
t + 50 = 83
Isolate the variable, subtract 50 from both sides:
t + 50 (-50) = 83 (-50)
t = 83 - 50
t = 33
