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1. x = 180° - 90° = 90° (Linear pair)
z = 180° - 30° = 150° (Linear pair)
In a triangle exterior angle is the sum of the two opposite interior angles,
y = 30° + 90°
y = 120°
x + y + z = 90° + 150° + 120° = 360°
(You already know that the sum of exterior angles of a triangle is 360°)
2. x = 180° - 120° = 60°
y = 180° - 80° = 100°
z = 180° - 60° = 120°
Fourth interior angle = 360° - 120° + 80° + 60° = 100° (Sum of all the angles of a quadrilateral is 360°)
w = 180° - 100° = 80°
x + y + z + w = 60° + 100° +120° +80° = 360°
(You already know that the sum of exterior angles of a quadrilateral is 360°)
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