Answer:
∠x = 40°
Explanation:
In Δ ABC
AB = AC
∠BAC = ∠ACB (angles opposite to equal sides are equal)
∠ACB = 35°
so in Δ ABC
∠ACB + ∠CBA + ∠BAC = 180°
35 + ∠CBA + 35 = 180
∠CBA = 180 - 70
∠CBA = 110
In ΔBCD
BC = CD
∠CBD = ∠CDB (opposite sides are equal)
∠CBD + ∠CBA = 180
∠CBD = 180 - 110
∠CBD = 70
∠CBD = ∠CDB = 70°
In Δ BCD
∠CBD + ∠BDC + ∠x = 180
70 + 70 + ∠x = 180
∠x = 40°
I think this is the answer....hope it helps