Answer: C. 75
Concept:
Here, we need to know the idea of quadrilaterals in a circle.
The opposite angles of quadrilaterals in a circle (cyclic quadrilaterals) are supplementary, meaning they add up to 180°
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Given information
The opposite angle of b = 105°
Given expression
b + opposite angle of b = 180°
Substitute values into the expression
b + 105 = 180
Subtract 105 on both sides
b + 105 - 105 = 180 - 105
b = 75°
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