Question

Hello! Please may someone explain this question to me?

Answer 1

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°

Answer 2

Answer:10°

Explanation:

Triangle BDC is an isoceles triangle

180-30=150

150÷2=75

Then triangle ADC

75+30+65=170

180-170=10