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Answer: [tex]108^{\circ}[/tex]
Step-by-step explanation:
Given
The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].
Suppose the missing corner measures [tex]x[/tex]
So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]
[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]
Therefore, the missing angle is [tex]108^{\circ}[/tex].