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Answer:
z = 70°
x = 55°
y = 55°
Step-by-step explanation:
z + 30° + 80° = 180° (Straight line angles sum up to 180°)
z = 180° - 30° - 80°
z = 70°
x = y = a (Base angles of an isosceles triangle are equal)
a + a + z = 180° (Interior angles of a triangle measure 180°)
2a + 70° = 180°
2a = 180° - 70°
2a =110°
a = 110/2
a = 55°
∴ x = 55°
y = 55°
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