Math will give
quadrilateral abcd is inscribed in this circle.

what is the measure of angle a?

Hello,

When you have an inscribed quadrilateral, the opposite angles add up to 180 degrees.

So we can start with angles B and D, and write the equation x + 116 = 180.
Solving that gives us that x = 64.

Now, input 64 for x in the expression for angle A.
2(64) - 40
128 - 40
88

Angle A is 88 degrees.

Good luck,
MrEQ