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Find x + y + z + w

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#### Solution

Sum of the measures of all interior angles of a quadrilateral is 360º. Therefore, in the given quadrilateral,

*a* + 60° + 80° + 120° = 360°

*a* + 260° = 360°

*a* = 100°

*x* + 120° = 180° (Linear pair)

*x* = 60°

*y* + 80° = 180° (Linear pair)

*y* = 100°

*z* + 60° = 180° (Linear pair)

*z* = 120°

*w* + 100° = 180° (Linear pair)

*w* = 80°

Sum of the measures of all interior angles = *x + y + z + w*

= 60° + 100° + 120° + 80°

= 360°

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