In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT
Attached Figure / Diagram
A
30o
B
35o
C
40o
D
70o
E
110o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
< QRS = 35º alt
< PQS = 35º ( base
therefore, RSQ = 180º - ( 35º+ 35º) = 110º
therefore < QST = 180º- 110º = 70º
< SQT = 180º - ( 70º + 70º ) = 40º
Source: Myschool Past Questions Archive (Record #23820)