In the parallelogram PQRS above, find angle SQR
Attached Figure / Diagram
A
100o
B
80o
C
50o
D
30o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
x = 30o (alternate ∠s b/c PQ//Sr)
Y = 50o (vertical opposite ∠s)
r = 30o (alternate ∠s b/c PQ//SR)
But = y + q + t = 180o (∠s on a straight line)
50 + q + 30 = 180
q + 80 = 180
q = 180 -80
q = 100o
Source: Myschool Past Questions Archive (Record #9247)