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Select the correct answer from each drop-down menu. The center of the circle is at O. Segment AB is tangent...

Select the correct answer from each drop-down menu.
The center of the circle is at O. Segment AB is tangent to circle O at point D.
The measure of ∠ADO is 90°.
The measure of ______ equal to 1/2 (m∠CF + m∠DE).

Answer

The measure of ∠ADO is 90°. This is correct because a tangent to a circle is perpendicular to the radius at the point of tangency.

The measure of ∠AOD is equal to 1/2 (m∠CF + m∠DE). This is because the angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

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