Answer:
x = 125°, y = 55°, z = 70°
Step-by-step explanation:
x and 55 are adjacent angles and are supplementary, sum to 180°, that is
x + 55° = 180° ( subtract 55° from both sides )
x = 125°
∠ ABD and ∠ BDC are alternate angles and congruent , so
y = 55°
Since BD and BC are congruent, then Δ BCD is isosceles, so
∠ BDC = ∠ BCD = 55° and
z = 180° - (55 + 55)° ← angle sum of triangle
= 180° - 110°
= 70°
