In circle A shown, secant DE and tangent DG are drawn. It ir know that m BAC = 63 and mBE = 96.
1 answer:
Answer:
Givens
is secant.
is tangent.
<h3>(A)</h3>
Remember that the arc subtended by a central angle is equal to it. That means
<h3>(B)</h3>
Now, by sum of arcs, we know
<h3>(C)</h3>
By definition, the total arc of a circle is 360°, so
<h3>(D)</h3>
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°.
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