The angles of a quadrilateral are of the measures 120 $°$ , 90 $°$ , 72 $°$ and x $°$ , then find x.

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Solution

$By the angle addition property of a quadrilateral, we have : 120 ° + 90 ° + 72 ° + x ° = 360 ° \Rightarrow 282 ° + x ° = 360 ° \Rightarrow x ° = 360 ° - 282 ° \Rightarrow x ° = 78 ° or, x = 78$

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