Find the measure of b.

A. 70
B. 110
C. 75
D. 100

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°

Hope this helps!! :)

Please let me know if you have any questions

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

i think the correct option is the second option.