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
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.
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