In the given figure, PQ || RS, ∠TMQ = 65° and ∠MNS = 105°. Find ∠x.

Question

Answer 1

x=75 degrees

x=180-105 =75

look at the LMN triangle, it's angles sum to 180

angle LMQ = 75

angle MLN = 65=PML

x= 180-40-65 = 180-140 = 75 degrees