In circle A shown, secant DE and tangent DG are drawn. It ir know that m BAC = 63 and mBE = 96.

Givens

is secant.

is tangent.

Remember that the arc subtended by a central angle is equal to it. That means

Now, by sum of arcs, we know

By definition, the total arc of a circle is 360°, so

We know that the external angle formed by a secant and a tanget is one half of the difference between the intercepted arcs, so

So, the angle D is 69°.