Question

Find x, y,z and w in the figure.


Need full explanation.

Answer 1

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Answer 2

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Interior angles :-

◖a = 60°

◖b = 80°

◖c = 120°

◖d = ?

Exterior angles to find :-

◖z = ?

◖x = ?

◖y = ?

◖w = ?

◕  To find z :-

→  z + 60° = 180°

→  z = 180° - 60°

→  z = 120°

◕  To find x :-

→  x + 120° = 180°

→  x = 180° - 120°

→  x = 60°

◕  To find y :-

→  y + 80° = 180°

→  y = 180° - 80°

→  y = 100°

◕  To Find d :-

→  d + 60° + 80° + 120° = 360°

→  d + 140° + 120° = 360°

→  d + 260° = 360°

→  d = 360° - 260°

→  d = 100°

◕  To find w :-

→  w + 100° = 180°

→  w = 180° - 100°

→  w = 80°

Therefore,

➳  z = 120°

➳  x = 60°

➳  y = 100°

➳  w = 80°