Answer:
D. 30
Step-by-step explanation:
The triangle PQR will become LMN when rotated 90 degrees
however the inside angles is missing for R, to solve:
since the sum of 3 angles inside a triangle is 180, then
m∡RPQ + m∡PRQ + m∡QRP = 180
m∡PRQ = 180 - 50 - 100 = 30°
the problem is asking for the angle ∡LNM which is the same as ∡PRQ
m∡PRQ = ∡LNM = 30