The measure of angle G is 78 degree. for better understanding check the calculation here
Calculation
From the given diagram the measure of angle I is 102 degrees.
In a cyclic quadrilateral, the sum of opposite angles are supplementary .
The sum of opposite angles are equal to 180 degrees.
[tex]m < I +m < G = 180\\[/tex]
Substitute the value of angle I and solve for angle G
[tex]m < I +m < G = 180\\\\m < I=102\\102+m < G=180\\[/tex]
subtract 102 on both sides
[tex]102-102+m < G=180-102\\m < G=78[/tex]
The measure of angle G is 78 degrees.
Option C is correct
Learn more information about 'Cyclic quadrilateral ' here
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