Respuesta :

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