The measure of a tangent-tangent angle is twice the difference of the measures of the intercepted arcs.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Break Down the Problem

1. Identify the key elements of the statement regarding tangent-tangent angles and intercepted arcs.
2. Understand the relationship between tangents and arcs in a circle.

Relevant Concepts

1. A tangent-tangent angle is formed by two tangents drawn from an external point to a circle.
2. The measure of a tangent-tangent angle can be determined by the formula: $\text{Tangent-Tangent Angle} = \frac{1}{2} \times (\text{Arc}_1 - \text{Arc}_2)$ where $\text{Arc}_1$ and $\text{Arc}_2$ are the measures of the intercepted arcs.

Analysis and Detail

1. According to the formula stated above, the tangent-tangent angle is half the difference of the measures of the intercepted arcs, not twice the difference as stated in the question.
2. Thus, the statement provided in the question is incorrect.

Verify and Summarize

1. The correct relationship is that the measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs.
2. Therefore, the statement in the question is false.

Final Answer

The statement is B. False.