Answer:
-----------------------------
According to the picture we have:
- ∠BAK ≅ ∠CBD as corresponding angles,
- ∠BDC ≅ ∠PDK as vertical angles.
Find the measure of angle PDK, using sum of angles of ΔPDK:
- m∠PDK + 60° + 70° = 180° -
- m∠PDK = 180° - 130°
- m∠PDK = 50°
Find x, using sum of angles of ΔBDC:
- x + 60° + 50° = 180°
- x = 180° - 110°
- x = 70°