Answer:
x = 67°
Step-by-step explanation:
The angle at N is the supplement to 54°, so is 126°. That makes the base angles of isosceles triangle LNP equal to (180 -126)°/2 = 27°. Then angle MLQ is ...
∠MLQ = 180° -70° -27° = 83°
and angle MQL is ...
∠MQL = 180° -83° -54° = 43°
Angle LQP is that same measure, by virtue of the angle bisector LQ, so the measure of angle x is ...
x = 180° -43° -70°
x = 67°
