Find the value of each variable in the circle to the right. The dot represents the center of the circle.

Step-by-step explanation:

According to the inscribed quadrilateral theorem, opposite angles of the quadrilateral are supplementary, which means they sum 180°.

Therefore, angle d is 65°.

Therefore, angle c is 89°.

Now, the angle 115° subtends the arc 99+a, which according to the theorem

Therefore, arc a is 131°.

Similarly, angle c subtends arc a+b, which means

Therefore, arc b is 47°.

step-by-step explanation:

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