Find the value of x in the diagram above.
Attached Figure / Diagram
A
120º
B
100º
C
60º
D
150º
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\angle\)N + \(\angle\)P + \(\angle\)M = 180 ( sum of angles in \(\triangle\) NPM)
65º + 55º + \(\angle\)M = 180
\(\angle\)M = 180 - 65 - 55 = 60º
x + \(\angle\)M = 180(opp interior angles of parallel lines are supplementary)
x = 180 - 60 = 120º
Source: Myschool Past Questions Archive (Record #71834)