Answer:
ΔBDC is isosceles, meaning the two base angles are equal. to find them you need to:
180 - 30 = 150 ÷ 2 = 75. so , each of the base angles is 75°
∠BDC + ∠BCD = ∠ABD
30 + 75 = 105°
so, x = 180 - (105+65) = 10°
you will understand better if you draw the figure and fill in all the angles following my explanation.
x = 10°
