The measures of ∠x and ∠y in Fig. 6.14 are respectively

Exterior angle is sum of interior opposite angles
∴ 120° = x + 50°
x = 120° - 50° = 70°
Angle sum property
Sum of all angles of triangle is 180°
50° + x + y = 180°
50° + 70° + y = 180°
120° + y = 180°
y = 180° - 120° = 60°
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