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A tangent-tangent angle intercepts two arcs that measure 135 and 225. What is the measure of the tangent-tangent angle?A.90B.45C.180D.135SUBMITarrow_backPREVIOUS

Question

A tangent-tangent angle intercepts two arcs that measure 135 and 225. What is the measure of the tangent-tangent angle?A.90B.45C.180D.135SUBMITarrow_backPREVIOUS

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Solution

The measure of a tangent-tangent angle is half the difference of the measures of the intercepted arcs.

Here are the steps to solve the problem:

Step 1: Identify the measures of the intercepted arcs. In this case, they are 135 and 225.

Step 2: Subtract the smaller arc measure from the larger one. So, 225 - 135 = 90.

Step 3: Divide the result by 2. So, 90 / 2 = 45.

Therefore, the measure of the tangent-tangent angle is 45 degrees. So, the answer is B. 45.

This problem has been solved

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