Answer: y = 50; x = 34
ABCD is a quadrilateral inscribed in the circle
=> ∠ABD = ∠ACD
⇔ x = 34°
and ∠ADB = ∠ACB
we also have:
∠DCE + ∠ DCB = 180°
⇔ 96° + x + ∠ACB = 180°
⇔ ∠ACB = 180 - 96 - x = 180 - 96 - 34 = 50
because ∠ADB = ∠ACB => y = 50°
Step-by-step explanation:
