Sum of linear pair of angles is = 180°
x + 90° = 180° (Linear pair)
x = 180° - 90°
x = 90°
Solving for z
z + 30° = 180° (Linear pair)
z = 180° - 30°
z = 150°
Solving for y
y = 90° + 30° (Exterior angle theorem)
y = 120°
x + y + z = 90° + 120° + 150°
= 360°
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Answers & Comments
Sum of linear pair of angles is = 180°
x + 90° = 180° (Linear pair)
x = 180° - 90°
x = 90°
Solving for z
z + 30° = 180° (Linear pair)
z = 180° - 30°
z = 150°
Solving for y
y = 90° + 30° (Exterior angle theorem)
y = 120°
x + y + z = 90° + 120° + 150°
= 360°