Answer:
see explanation
Step-by-step explanation:
Since the lines are parallel then
∠x = 70° ( alternate angles are congruent )
Since the triangle is isosceles then the base angles are congruent, thus
∠y = ∠x = 70°
The sum of the angles in a triangle = 180°
Subtract the sum of x and y from 180 for z
∠z = 180° - (70 + 70)° = 180° - 140° = 40°
Hence ∠x = ∠y = 70° and ∠z = 40°
